Question

Find the area of the shaded regions (the green). I'll give brainliest for the correct answer!

Answer 1

Answer:

$\boxed{18\pi \: \mathrm{cm^2}}$

Step-by-step explanation:

Apply formula for area of a sector.

$\pi r^2 \times \frac{\theta }{360}$

$\theta =80\° \\r=9$

Plug in the values.

$\pi \times 9^2 \times \frac{80}{360}$

$\pi \times 81 \times \frac{80}{360}$

$\pi \times 81 \times \frac{2}{9}$

$\pi \times 18$

$18\pi$

The area of the sector is $18\pi \: \mathrm{cm^2}$.

Answer 2

Answer:

$Area \ of \ Sector = 56.5 \ cm^2$

Step-by-step explanation:

$Area \ of \ Sector = \frac{1}{2} \ r^2 \theta$

Where r = 9 cm, θ = 80 degrees

=> Firstly 80 degrees in radians

80° = 1.4 radians

=> Now, The solution:

$Area \ of \ Sector = \frac{1}{2} \ r^2 \theta$

$Area \ of \ Sector = \frac{1}{2} (9)^2(1.4)\\Area \ of \ Sector = \frac{1}{2} (81)(1.4)\\Area \ of \ Sector = \frac{113.1 }{2}$

$Area \ of \ Sector = 56.5 \ cm^2$