Find the area of the circle whose circumference is 14.

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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.

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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.)

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