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