Question

What is the area of the shaded region in the figure below?

Answer 1

a. 32π −16
b. 16π − 16
c. 32π − 32
d. 16π − 32

Answer 2

@ganeshie8

Answer 3

@.Sam.

Answer 4

Find the area of the sector then subtract out the triangle

Answer 5

how do you find the area of the sector?

Answer 6

\[\huge A_{shaded}=A_{sector}-A_{\triangle}\]

Answer 7

\[\large A_{sector}=\frac{1}{2}r^2 \theta\]
Where \(\theta\) is in radians

Answer 8

would 8 be r?

Answer 9

Yes

Answer 10

okay so 32?

Answer 11

You forgot \(\theta\)

Answer 12

\[\theta=\frac{90}{180} \times \pi\]

Answer 13

The 90 comes from the given angle

Answer 14

1.57?

Answer 15

Yes then multiply this to 32

Answer 16

Because
\[\large A_{sector}=\frac{1}{2}r^2 \theta\]

Answer 17

50.24

Answer 18

Yes

Answer 19

okay so now i subtract 50.24- 90?

Answer 20

why do you subtract by 90?

Answer 21

oh the area of the triangle

Answer 22

You sure the area is 90 for triangle?