Question

Pls help answer asap I’ll give points

Answer 1

Circumference of circle = 20π

length of arc GH = 4π

The length of arc GH is 1/5 the circumference of the circle, so the central angle measures π/5 radians.

Area of shaded region = (4/5)π(10²)

= 80π units²

Answer 2

80π

Explanation:

length of arc GH =
`(\alpha)/(360^o) * 2\pi r`

`4\pi=(\alpha)/(360^o) * 2\pi (10)`

`(4)/(20) =(\alpha)/(360^o)`

`\alpha=0.2*360^o`

`=72^o`

∠GFH (major) = 360° - 72°

= 288°

shaded area =
`(288^o)/(360^o) *\pi r^2`

=
`(288^o)/(360^o) *\pi (10)^2`

=
`80\pi`