Question

A circle has an area of 144 pi centimeters squared. Find the circumference

Answer 1

Step-by-step explanation:

To find Circumference we first need to find radius,

We know that, Area of Circle = πr^2

144π = πr^2

144 = r^2

12^2 = r^2

12 = r

Radius = 12cm

Now we have the value of radius hence we can now find the circumference.

Circumference of a Circle = 2πr

= 2 * π * 12

= 24 π

= 24 * 22/7

= 75.42 cm

The circumference is of 75.42 cm

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Answer 2

The circumference of circle is 75.4 cm

Given - Area

Find - Circumference

Solution - Circumference = 2πr

Area = πr²

Finding radius from the formula of area

144 π = πr²

${r}^{2} = \frac{144 \: \pi}{\pi}$

${r}^{2} = 144$

$r = \sqrt{144}$

Taking square root

$r = 12 \: cm$

Circumference = $2 \times \frac{22}{7} \times 12$

Performing multiplication and division

Circumference = 75.4 cm

Hence, the circumference of circle is 75.4 cm.

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