Question

The area of a circle is 49π 〖"cm" 〗^2. Find the circumference of the circle. (Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).

Answer 1

C = 14*pi cm

Explanation:

The area of a circle is given by A = pi * r^2

We know the area is 49 pi

49 pi = pi r^2

Divide each side by pi

49 pi/pi = pi/pi r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Now we need to find the circumference

C = 2*pi*r

C = 2 *pi *(7)

C = 14*pi cm