Find the area of the shaded region. Leave your answer in terms of Pi.

The total area of the shape is 162 + 243π square feet.

Step-by-step explanation:

The simplest way to solve this is to take the area of the circle, multiply that by 3/4, then add the area of the triangle.

A circle's area is πr², so three quarters of that is ³/₄πr².

r = 18 ft, so the circular part of the shape is ³/₄π18² square feet

18² = 324

³/₄ of 324 is 243

so the circular part of the shape has an area of 243π square feet.

The triangular part is half a square, with a side length of 18 feet.  That means that its area will be:

18² / 2 feet

= 324' / 2

= 162'

So the total area of the shape is 162 + 243π square feet.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value