A circle’s circumference is approximately 44 cm. Which means the circles area is approximately:1. 88 cm²2. 138 cm²3. 154 cm²4. 196 cm²

Mathematics · High School · Tue Nov 03 2020

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Given:

Circumference = 44 cm

Find the area of the circle.

Area of the Circle Formula: A=πr^2

Circumference Formula: C=2πr

Solution:

Given the circumference of the circle, we first need to identify the radius of the circle in order to solve for the area of the circle. Thus, we need to solve r in terms of C.

C=2πr

r=C/2π

r = 44/2π

r = 7

Substitute the value of r in the given formula of the circle.

A=πr^2

A=π(7)^2

A=49π

A= 153.94 cm^2

The area of the circle is approximately 154 cm^2