Question

A circle has a circumference of 44m. What

is its area?
A. 616m
B. 154m
C. 14m
D. 308m​

Answer 1

B

Explanation:

Circumference = 2πr

And circumference = 44 m

44 = 2πr

so, r = 44/2π

r = 22/π

Radius is 22/π

Area of circle = πr²

Area of circle = π × (22/π)²

Area of circle = π × 22²/π²

Area of circle = 22²/π

Area of circle = 484/π

Area of circle = 154.14m²

Answer 2

Answer: B. 154 square meters

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Work Shown:

C = 44 is the circumference

in general, the circumference of a circle is

C = 2*pi*r

Plug in C = 44 and solve for r.

C = 2*pi*r

44 = 2*pi*r

2*pi*r = 44

r = 44/(2pi)

r = 7.0028175 which is approximate

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Now plug this into the formula for the area of a circle

A = pi*r^2

A = pi*(7.0028175)^2

A = 154.061985

A = 154 rounding to the nearest whole number