A circle has a circumference of 44\text{ cm}. What is the area of the circle? (Take \pi = … — JAMB UTME

A circle has a circumference of $44\text{ cm}$ . What is the area of the circle? (Take $\pi = \frac{22}{7}$ )

The area of the circle is

154\text{ cm}^2

First, find the radius from the circumference:

C = 2\pi r \implies 44 = 2 \times \frac{22}{7} \times r \implies r = 7\text{ cm}

. Then compute the area:

A = \pi r^2 = \frac{22}{7} \times 7^2 = 154\text{ cm}^2

. Therefore, the value

154\text{ cm}^2

is correct.

Calculate the radius of the circle using the circumference formula

r = 7\text{ cm}

The formula for circumference is

C = 2\pi r

. Substituting

C = 44

and

\pi = \frac{22}{7}

yields

44 = 2 \times \frac{22}{7} \times r

, which simplifies to

\frac{44}{7}r = 44

, so

r = 7\text{ cm}

Calculate the area using the area formula for a circle

Area =

154\text{ cm}^2

The area formula is

A = \pi r^2

. Substituting

r = 7

and

\pi = \frac{22}{7}

gives

A = \frac{22}{7} \times 7^2 = 22 \times 7 = 154\text{ cm}^2

Relationship between circumference and area of a circle

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