Question

please help me with this

Answer 1

Find the measure of arc 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 2

You can use the following proprotion to solve:

\[\frac{\text{area of sector}}{\text{area of circle}} = \frac{\text{arc length}}{\text{circumference of circle}}\]

Answer 3

I would rather write it this way as it is more simplistic:

\[\dfrac{x}{\pi r^2} = \frac{y}{2 \pi r}\]

Of course
x = area of sector
y = arc length

Answer 4

If you plug in the given info

x = 26.16
r = 5

We have:

\[\frac{26.16}{\pi (5)^2} = \frac{y}{2 \pi (5)}\]

Answer 5

Solving for y gives you the length measurement of arc AC

Answer 6

ok thnkx