Question

Find the measure of AC in degrees, given that the shaded region has an area of 26.18 square centimeters. if necessary, round your answer to two decimal places.

Answer 1

I know to get the area of sector = fraction of circle covered by sector * area of circle

Answer 2

Would the fraction of the circle covered by sector be 26.18 cm2 or 5 cm ?

Answer 3

Pi5sqaured = 78.53

Answer 4

Now i multiply by 26.13 cm2

Answer 5

?

Answer 6

2051.98/3

Answer 7

684 cm2

Answer 8

units squared *

Answer 9

as u mentioned above

\[\text{fraction of circle covered by sector}=\frac{\text{area of sector}}{\text{total area of circle}}\]

Answer 10

on the other hand\[\text{fraction of circle covered by sector}=\frac{\text{area of sector}}{\text{total area of circle}}=\frac{\text{related arc of sector}}{\text{total arc of circle}}\]\[\frac{\text{area of sector}}{\text{total area of circle}}=\frac{\text{related arc of sector}}{\text{total arc of circle}}=\frac{AC}{360}\]makes sense?

Answer 11

I just have to divide 26.18 by 360 ?

Answer 12

I got 0.07

Answer 13

\[\frac{\text{area of sector}}{\text{total area of circle}}=\frac{AC}{360}\]\[\frac{26.8}{\pi*5^2}=\frac{AC}{360}\]\[AC=360\frac{26.8}{78.53}=122.85 \ \ \text{degrees}\]

Answer 14

Okay but since i have to round it it's 122.86 :D

Answer 15

is *