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sp2606 [1]
3 years ago
7

I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it

makes me unsure if I'm doing this correctly. ​

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

r=6

Step-by-step explanation:

The area of a circle is given by πr². Note that this uses the radius, not the diameter.

Now, one quarter of this area (ABC) is given to be 9π.

So apparently:

\frac14 \pi r^2 = 9\pi

If you solve this:

\frac14 r^2 = 9 (divide both sides by π)

r^2 = 9\cdot4 (multiply both sides by 4)

so

r = √36 = 6

so the radius is 6.

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