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).

Question

Jamar Blanchard

Mathematics

11 February, 11:22

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).

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Answers (1)

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Cayden Bauer · Answer 1

C = 14*pi cm

Step-by-step 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