Question

Find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP​

Answer 1

`192.27\:\mathrm{cm^2}`

Explanation:

The area of sector with radius
`r` and measure
`\theta` is give by
`A=r^2\pi\cdot (\theta)/(360^(\circ))`. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

• 2 sectors of equal area
• Each sector has a radius of 9 cm
• Each sector has a measure of 136 degrees

Therefore, the area of the shaded regions (two sectors) is:

`A=2\cdot 9^2\pi\cdot (136)/(360)=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}`