How To Calculate The Area Of The Circle

In above program, we first take radius of circle as input from user and store it in variable radius. Then we calculate the circumference of circle using above mentioned formulae and print it on screen using cout. The area of the circle can be conveniently calculated either from the radius, diameter, or circumference of the circle. The constant used in the calculation of the area of a circle is pi, and it has a fractional numeric value of 22/7 or a decimal value of 3.14. Any of the values of pi can be used based on the requirement and the need of the equations. The below table shows the list of formulae if we know the radius, the diameter, or the circumference of a circle.

A circle is a collection of points that are at a fixed distance from the center of the circle. We see circles in everyday life such as a wheel, pizzas, a circular ground, etc. The measure of the space or region enclosed inside the circle is known as the area of the circle. The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.

The area formula will also help us to know the boundary length i.e., the circumference of the circle. A circle is a two-dimensional shape, it does not have volume. A circle only has an area and perimeter/circumference. Let us learn in detail about the area of a circle, surface area, and its circumference with examples. Fill the circle with radius r with concentric circles. After cutting the circle along the indicated line in fig.

4 and spreading the lines, the result will be a triangle. The base of the triangle will be equal to the circumference of the circle, and its height will be equal to the radius of the circle. Since area is a measure of two dimensions, you always report area in square units like square inches or square feet . Grade school has instilled one thing upon most of us—the area of a circle is pi times the radius squared. Simply substitute the radius and there you have it, the area of a circle right at your fingertips. Although this seems like a piece of cake, there's one thing that we're forgetting.

Pi has an endless expression, so no matter how many digits of pi we consider when calculating the area of a circle, it can never truly be exact. To understand how to calculate square footage we must first begin with the definition of area. An area is the size of a two-dimensional surface.

The area of a circle is the space contained within its circumference . To find out the area of a circle, we need to know its diameter which is the length of its widest part. The diameter should be measured in feet for square footage calculations and if needed, converted to inches , yards , centimetres , millimetres and metres .

For those having difficulty using formulas manually to find the area, circumference, radius and diameter of a circle, this circle calculator is just for you. The equations will be given below so you can see how the calculator obtains the values, but all you have to do is input the basic information. Then we calculate the area of circle using above mentioned formulae and print it on screen using cout. The area of a circle is any space that the circle occupies on a flat surface.

When we talk about the surface area of the circle, we are focusing on two-dimensional objects. When finding the circle area, there are three other measures that we take into consideration, including the circumference, diameter, and radius. All three calculations also help us fining the circle area. You can refer to the below screenshot to see the output for the python program to calculate the area and circumference of a circle using an inbuilt math module.

As the number of sides increases, the length of the parallelogram base approaches half the circle circumference and its height approaches half the circle radius. By this, the parallelogram turns into a rectangle with dimensions of width πr and height r. The original proof of Archimedes is considered not rigorous by modern standards. If the area of the circle is not equal to that of the triangle, then it must be either greater or less.

How To Find The Area Of A Half Circle And A Square We eliminate each of these by contradiction, leaving equality as the only possibility. Write a JavaScript program to calculate the area and perimeter of a circle. Create two methods to calculate the area and perimeter. The radius of the circle will be supplied by the user. The area of circle is the amount of two-dimensional space taken up by a circle. We can calculate the area of a circle if you know its radius.

Finding the radius is not always easy, especially if you don't have the circle's center. You can calculate the area using the diameter instead. The same formula applies as above, but you need first to calculate the radius of the circle.

Simply divide the diameter by 2 to get the radius. Only a mathematician can genuinely understand the practical importance of formulas for calculating area, radius, diameter, or circle circumference. While most people think that formulas have no practical use, they are critical factors in many everyday life routines. You can refer to the below screenshot to see the output for the python program to calculate the area and perimeter of a circle using class. Here, we will see python program to calculate the area and circumference of a circle using an inbuilt math module.

The perimeter of circle is nothing but the circumference, which is equal to twice of product of pi (π) and radius of circle, i.e., 2πr. As we know, the area of circle is equal to pi times square of its radius, i.e. π x r2. To find the area of circle we have to know the radius or diameter of the circle. This area is the region that occupies the shape in a two-dimensional plane. Now we will learn about the area of the circle.

So the area covered by one complete cycle of the radius of the circle on a two-dimensional plane is the area of that circle. Now how can we calculate the area for any circular object or space? In this case, we use the formula for the circle's area. In technical terms, a circle is a locus of a point moving around a fixed point at a fixed distance away from the point. Basically, a circleis a closed curve with its outer line equidistant from the center.

The fixed distance from the point is the radius of the circle. In real life, you will get many examples of the circle such as a wheel, pizzas, a circular ground, etc. Now let us learn, what are the terms used in the case of a circle. Hence, the concept of area as well as the perimeter is introduced in Maths, to figure out such scenarios. But, one common question that arises among most people is "does a circle have volume? Since a circle is a two-dimensional shape, it does not have volume.

In this article, let us discuss in detail the area of a circle, surface area and its circumference with examples. Use this circle calculator to find the area, circumference, radius or diameter of a circle. Given any one variable A, C, r or d of a circle you can calculate the other three unknowns.

A circle can be divided into many small sectors which can then be rearranged accordingly to form a parallelogram. When the circle is divided into even smaller sectors, it gradually becomes the shape of a rectangle. We can clearly see that one of the sides of the rectangle will be the radius and the other will be half the length of the circumference, i.e, π. As we know that the area of a rectangle is its length multiplied by the breadth which is π multiplied to 'r'. So we can use the area of a circle formula to calculate the area of the pizza. We'll give you a tour of the most essential pieces of information regarding the area of a circle, its diameter, and its radius.

In some real world situations, you may not be able to measure the diameter or radius accurately. If the diameter is not drawn for you or the center is not identified, it can be difficult to approximate the center of a circle. The area of a circle is pi times radius squared. Here, we take the value of radius such that we get a rational number as the answer. Used since ancient geometrics, all of these variables let you precisely calculate anything related to a circle.

However, instead of doing things manually, now you can use our area of a circle calculator and make use of the ready circle formula. You can refer to the below screenshot to see the output for the python program to calculate the area of a circle using class. The area of the circle is the measure of the space or region enclosed inside the circle.

In simple words, the area of a circle is the total number of square units inside that circle. The circle is divided into 16 equal sectors, and the sectors are arranged as shown in fig. The area of the circle will be equal to that of the parallelogram-shaped figure formed by the sectors cut out from the circle. Since the sectors have equal area, each sector will have an equal arc length. The red coloured sectors will contribute to half of the circumference, and blue coloured sectors will contribute to the other half. If the number of sectors cut from the circle is increased, the parallelogram will eventually look like a rectangle with length equal to πr and breadth equal to r.

The answer will be square units of the linear units, such as mm2, cm2, m2, square inches, square feet, and so on. The first step for calculating the area of a circle from its diameter is to find that diameter. While math problems often list this value, in the real world, you must find the diameter yourself. The diameter is the length of a line that begins at the edge of the circle, passes through the center of the circle, and ends at the opposite edge of the circle.

To measure, you will need a ruler for small circles or a tape measure for large circles. The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.

Use a protractor to measure the central angle made by the two radii. Set the base of the protractor along one of the radii, with the central point of the protractor aligned with the center of the circle. Then read the angle measurement that corresponds with the position of the second radius forming the sector. The perimeter and area of triangles, quadrilaterals , circles, arcs, sectors and composite shapes can all be calculated using relevant formulae.

In either case, finding the perimeter or the area of the quarter circle starts with knowing the circle formulas themselves. A circle is a round-shaped figure that has no corners or edges. It has the set of all points on a plane that are a fixed distance from the center.

Or, in geometry, a circle can be defined as a closed, two-dimensional curved shape. The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of theisosceles triangle △ACB. Printf(" ")– printf is used for displaying the output on the screen. The output to be displayed is enclosed by a small bracket and encoded by " " to convert the values into strings form.

Here, " Enter the radius of circle " is the output to be displayed. Perhaps, their main variable is the radius – which is measured from the center of the circle to any of its sides. Essentially, the diameter is twice the radius – or any line that goes from one side of the circle to the other while crossing its center. The area A is equal to pi times the circumference divided by 2 times pi, squared. The area A is equal to pi times the diameter divided by 2, squared.

Thus, the area of a circle A is equal to pi times the radius squared. "R" is used to represent the radius of the circle. It is the distance of any line from the center of the circle to the circle's edge. You can also calculate the radius by dividing the diameter by 2. The surface Area of a circle is quite different from all other shapes because of the round nature. However, there are many practical applications in everyday life where you need to calculate a circle area.

The calculator for the circle area is not a complex one. All you need to know is the formula, and you can quickly understand the size of any circular object. Learn more about Trig identities on our website. Let see python program to calculate the area of a circle using class. You can refer to the below screenshot to see the output for the python program to calculate the area and circumference of a circle.

In this tutorial, we have shown three methods for calculating the area of the given circle. To calculate the area of the given circle, the user must know the radius or the diameter of the circle. Among the three methods, the first one is the easiest and most direct method.

To recall, the area is the region that occupied the shape in a two-dimensional plane. In this article, you will learn the area of a circle and the formulas for calculating the area of a circle. We have discussed till now the different parameters of the circle such as area, perimeter or circumference, radius and diameter. Let us solve some problems based on these formulas to understand the concept of area and perimeter in a better way. The diameter of the circle is double the radius of the circle. Hence the area of the circle formula using the diameter is equal to π/4 times the square of the diameter of the circle.