Question

The area of the circle is 144π m2 What is the diameter of the circle?

Answer 1

Answer:

Step-by-step explanation:

Remember that

Area of Circle = $\pi r^2$

$\pi = pi \\r = radius$

They told us that for this circle, the area is $144\pi m^2$

If you put it back into the formula for area of a circle we get:

Area of Circle = $\pi r^2$

$144\pi = \pi r^2$

Divide both sides by $\pi$.

144 = $r^2$

Now we want to solve for r (r = radius).

You need to square root each side

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

$12 = r$

So now we know the radius, $r = 12$ metres

Also remember that

Diameter = $2r$

So,

Diameter = 2 times 12 = 24 metres