Question

I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest

Answer 1

ANSWER

A. (243pi+162) ft^2

EXPLANATION

The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.

Area of major sector

$=\frac{360-90}{360}$ × $\pi$ × $18^2$

$=243\pi ft^2$

The area of the isosceles triangle is calculated using the formula;

$=\frac{1}{2}r^2sin(0)$

$=\frac{1}{2}$ × $18^2$ $sin(90)$

$=162ft^2$

The area of the shaded region

$=(243\pi +162)ft^2$

The correct answer is A.