Question

Identify the area of sector AMC in terms of pi and rounded to the nearest hundredth.HELP PLS

Answer 1

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