Question

Arc math problem

Thanks

Answer 1

area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²

Answer 2

Option D

Explanation:

17). Area of a sector of a circle =
`(\theta)/(360)(\text{Area of the circle})`

=
`(\theta)/(360)(\pi r^(2) )`

Here 'r' = radius of the circle

From the picture attached,

r = 10 ft

θ = 300°

Area of the sector =
`(300)/(360)[\pi (10)^(2)]`

=
`(5)/(6)(100\pi )`

=
`(250\pi)/(3)`

Area of the sector =
`(250\pi)/(3)` ft²

Therefore, Option (D) will be the correct option.