Question

Plz Help .............​

Answer 1

363.9 ft²

Explanation:

The required area is the area of the circle - shaded area

area of circle = πr² = π × 12² = 144π ft²

shaded area = area of sector - area of Δ NBW

area of sector = πr² ×
`(120)/(360)` = 144π ×
`(1)/(3)` = 48π

area of Δ =
`(1)/(2)` × 12 × 12 × sin120° = 72 × sin120° ≈ 62.35 ft²

Then

shaded area = 48π - 62.35 ≈ 88.45 ft²

area not shaded = 144π - 88.45 ≈ 363.9 ft²

Answer 2

`363.9ft^(2)`

Explanation:

`Area =\pi r^(2) -(1)/(3)\pi r^(2) +(1)/(2)r^(2)sin\alpha \\\\\\ = (2)/(3)\pi 12^(2) +(1)/(2)12^(2)sin120 =363.9ft^(2)`