Question

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

A. (243pi+162) ft^2
B. (243pi-162) ft^2
C. (27pi+162) ft^2
D. (27pi-162) ft^2

Answer 1

Answer: A

Explanation:

1. 49 pic square ft

2. 168 units

3. (4-
`\pi`)ft^2

4. 314square ft

5. 22.6 square mm

6. 12 inches

7. 12
`\pi ft^2`

8. 28.125
`\pi` square centimeters

9. 22.1 cm

10. (243pi+162) ft^2

Just took the pracitce this will get oyu a 100 hope this helps

Answer 2

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

`= (360 - 90)/(360) * \pi * {18}^(2)`

`= 243\pi {ft}^(2)`

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

`= (1)/(2) {r}^(2) \sin( \theta)`

`= (1)/(2) * {18}^(2) \sin(90 \degree)`

`= 162 {ft}^(2)`

The area of the shaded region

`= (243\pi + 162) {ft}^(2)`

The correct answer is A.