Finding area of a circle when its circumference is given

Area of a circle can be obtained when its circumference is given. As you have read in previous posts that circle area can be obtained when its radius or its diameter is given. Again we gonna use one of these parameters to find the area of the given circle, but we have to find these from the circumference of the circle.

Use of the formula for circumference of a circle

The circumference is the total length of the circular path or round over the circle. There is a nice formula to find the circumference of the circle when its diameter is given.

Now this is reversed engineering (we can say). The circumference is given and we can find the diameter of the circle from it using the same formula used to find the circumference when the diameter is given.

The formula to find the diameter “d” of a circle when its circumference “c” is given is explained below:

In other words, we need to divide the circumference by "pi" to find the diameter of the circle. And you know ? = 3.14, just divide the given circumference of the circle by 3.14 to get the diameter of the circle.

Now you can use this value of diameter into formula to find the area of the circle or you can find the radius of the circle by dividing diameter d by 2, and then use the radius in the formula to find the area.

Using diameter or radius to find the area of the given circle

Once the diameter of the circle is known we can easily find its area. We explained it in our previous post on finding area of a circle from its diameter. Use the following formula to find the circle area "A".

The alternative to above method is to find the radius (r) by dividing diameter by 2 and then use the radius in the formula to find the area of the circle. Use the following formula to find the area "A" of the given circle.

Below is a worksheet to practice this concept. Print and practice on it.

Area of a circle from circumference

Hence the finding area of a circle from its circumference concept. Must print the above worksheet to make your kids perfect on it.