A circle has a circumfrence of 14mm. Find its area. Give an exact answer

Question

asked May 9, 2020 54.1k views

2 Answers

Michael Bylstra · Answer 1 · 2020-05-12T12:32:08+0000

Answer:

15.597 mm^2

Explanation:

The formula for circumference of a circle 2πr, in which r is the circle's radius.

The formula for area of a circle π
r^(2) . This means that we can find the radius from the circle's circumference and use it to find the area.

First we have to equal 14 to 2πr because both are representations of circumference and we need to find r.

14 = 2πr

Solve:

14/2 = 2πr/2

7 = πr

7/π = πr/π

2.23 = r

Plug 2.23 into the formula for area as r and solve:

π(2.23)^2

π4.96

15.597