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OLga [1]
3 years ago
7

What is the diamater of a circle the area of a circle is 144π m^2

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=\pi r^2

We know that the area is 144pi m^2.

a= 144\pi m^2

Substitute 144pi m^2 in for a.

144\pi  m^2= \pi r^2

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

144\pi  m^2/ \pi = \pi r^2 / \pi

144\pi  m^2/ \pi =  r^2

144 m^2= r^2

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

\sqrt{144 m^2} =\sqrt{r^2}

\sqrt{144 m^2} =r

12 m= r

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

d= r*2

The radius is 12 m.

d= 12 m*2

Multiply

d= 24 m

The diameter of the circle is 24 meters.

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