# Find the area of the circle whose circumference is 34pi

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

Posted on

We need to determine the area of the circle whose circumference is 34pi.

We know that the area of the circle is:

a = r^2 n pi  where r is the radius.

Then we need to determine the radius.

Given that the circumference = 34pi.

==> C = 2* pi * r = 34*pi

We will divide by 2*pi.

==> r= 34pi/ 2pi

==> r= 17

Then the radius of the circle = 17 unit.

Now we will substitute into the area.

a = r^2 *pi = 17^2 * pi = 289pi = 907.92 square units.

Then, the area of the circle is 907.92 square units.

neela | High School Teacher | (Level 3) Valedictorian

Posted on

To find the area of the circle whose circumference = 34pi.

We know that the relation between the circimference C and the radius r is given by: C = 2pir.

C = 34pi by data.

Therefore 2pir = 34pi. S = r = 34pi/2pi = 17.

We are A of the circle is given by A = pir^2.

Therefore A = Pi*17^2 = (3.14159)289 = 907.92 sq units.

Therefore the area of the given circle A = 907.92 sq units.