Question

*20 points*

Explain your answer.

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

Answer 1

so hmm notice the picture below

simply get the area of the segment, and subtract it from the area of the circle, what's left, is the difference

notice your circle, has a radius "r" of 18

Answer 2

Hence, Total area of shaded region= (243π+162) ft²

Explanation:

Area of shaded region can be calculated as

Area of right triangle + area of the circle below the right triangle

Area of circle=πr² (360° is covered)

360°-90°=270°

i.e. (270÷360)°= 3/4 part of the circle is covered

So, area of circle below the right triangle= 3×π×18×18/4

= 243π

area of right triangle= base×height/2

= 18×18/2

= 162

Hence, total area of shaded region= (243π+162) ft²

Hence, option A is correct.