Question

Please help would really appreciate it!

Answer 1

`r = 6√(3)`

Explanation:

Area of the shaded section = θ/360*πr²

Area = 15π m²

θ = 360° - 310° = 50°

r = ??

If in the values into the equation and solve for r

15π = 50/360 × π × r²

`15 \pi = (5 * \pi * r^2)/(36)`

Multiply both sides by 36

`15 \pi * 36 = (5\pi * r^2)/(36)*36`

`540 \pi = 5\pi * r^2`

Divide both sides by 5π

`(540 \pi)/(5\pi) = (5\pi * r^2)/(5\pi)`

`108 = r^2`

`r = √(108)`

`r = √(36*3)`

`r = 6√(3)`