Question

What is the diameter of the circle the area of the circle is 144 square root m2

Answer 1

Answer: 24 m

Step-by-step explanation:

Given: area of the circle is 144 π m² .

Area of a circle = $\pi r^2$, where r= radius of the circle.

Then, $144\pi = \pi r^2$

Cancelling π from both sides , we get

$144 = r^2$

Taking square root on both sides , we get'

$12= r$

i.e. radius = 12 m

Then diameter = 2 (radius ) = 2 (12)= 24 m

Hence, the diameter of the circle is 24 m.

Answer 2

The diameter of the circle is 13.54cm

The formula for calculating the area of the circle is expressed as:

A = πd²/4

d is the diameter of the circle

GIven the following

A = 144m²

Substitute the area into the circle

144 = πd²/4

πd² = 144 * 4

πd² = 576

d² = 576/3.14

d² =183.44

d = 13.54cm

Hence the diameter of the circle is 13.54cm

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