Question

Plz Help .............​

Answer 1

Answer:

363.9 ft²

Step-by-step 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 × $\frac{120}{360}$ = 144π × $\frac{1}{3}$ = 48π

area of Δ = $\frac{1}{2}$ × 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

$363.9ft^{2}$

Step-by-step explanation:

$Area =\pi r^{2} -\frac{1}{3}\pi r^{2} +\frac{1}{2}r^{2}sin\alpha \\\\\\ = \frac{2}{3}\pi 12^{2} +\frac{1}{2}12^{2}sin120 =363.9ft^{2}$