Question

I need help with my work ASAP

Answer 1

Answer:

Step-by-step explanation:

The area for the sector of a circle is

$A_s=\frac{theta}{360}*\pi r^2$  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:

$64\pi =\frac{90}{360}*\pi r^2$

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

$\frac{360(64\pi )}{90\pi } =r^2$

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.