The area of a circle is 49π cm^2. Find the circumference of the circle. Leave your answer in exact form, no decimals, and include units (Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).

Question

Lyric Stewart

Mathematics

30 October, 11:01

The area of a circle is 49π cm^2. Find the circumference of the circle. Leave your answer in exact form, no decimals, and include units (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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Pecan · Answer 1

Step-by-step explanation:

Let r be the radius of the circle

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

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 * pi * (7)

C = 14*pi cm

pi=22/7

C=14*22/7=2.22=44 inches

so, C = 44 inches