Question

What is the approximate area of the shaded sector in the circle below

Answer 1

`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=4.5\\ \theta= 150 \end{cases}\implies A=\cfrac{(150)(\pi )(4.5^2)}{360}`

Answer 2

First to find the area the formula is A=pi(r^2)
so plug in the numbers A= (3.14)(4.5)(4.5)= 63.62 is the total area

150*63.62=9543 9543/360=26.5


So the answer is 26.5 cm ^2