Find the area of the circle whose circumference is 14.

### 2 Answers | Add Yours

The circumference of the circle is given as 14.

Now the circumference of a circle is 2*pi*r.

2*pi*r = 14

=> r = 7/pi.

The area of a circle is pi*r^2

=> Area = pi*(7/pi)^2

=> Area = pi* 49/ pi^2

=> Area 49 / pi.

**The required area of the circle is 49/ pi.**

Given the circumference of a circle = 14.

We need to find the area of the circle.

We know that the formula for the area of a circle is given by:

A = r^2 * pi where r is the radius of the circle.

Then, we need to determine the radius.

But, w given the circumference = 14.

We know that the circumference of a circle is given by:

C = 2*r * pi

--> 2*r*pi = 14

==> r= 14/2pi = 7/pi.

Now we will substitute into A.

A = r^2 * pi

= (7/pi)^2 * pi = 49/pi^2 * pi = 49/pi.

**Then, the area of the circle is A = 49/pi = 15.6 ( approx.)**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes