1 Answer

Taiwotman · Answer 1 · 2021-02-17T03:04:59+0000

Answer:

Explanation:

The formula for the area of a sector is

$A=(\theta)/(360)*\pi r^2$ where θ is the measure of the central angle and r is the radius.

Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:

$A=(90)/(360)*\pi (4)^2$ and

$A=(1)/(4)*\pi (16)$

16 divides by 4 evenly, so

A = 4π.in²

If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is

A = 12.57 in²

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