Question

Find the exact circumference of a circle with an area equal to 36 $\pi$sq. in.

Answer 1

Answer:

12π  inches.

Step-by-step explanation:

Area = π r^2 = 36π  (given).

So r^2 = 36  giving r = 6.

The exact circumference = 2 π  r

= 2 π * 6

= 12π.

Answer 2

Answer:

12πin

Step-by-step explanation:

From the question given, the area of the circle is 36πin^2

Recall:

Area of circle = πr^2

36π = πr^2

Divide both side by π

36 = r^2

Take the square root of both side

r = √36

r = 6in

Circumference of a circle = 2πr

= 2π x 6

= 12πin