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I need help with my work ASAP

I need help with my work ASAP-example-1

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Answer:

Explanation:

The area for the sector of a circle is


A_s=(theta)/(360)*\pi r^2 where theta is the measure of the central angle. We have some given values to fill in:

Area is 64π and the central angle is 90°, so all we have left to find is the radius. Filling into the equation:


64\pi =(90)/(360)*\pi r^2

Let's get that solved for r-squared first:


(360(64\pi ))/(90\pi ) =r^2

Doing all the math on that gives us:


256=r^2

Take the square root of both sides and get that r = ±16. BUT we know that lengths cannot be negative, so we disregard the -16 and say that the radius is 16 inches.

User Antonio Vasilev
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