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