The shaded major sector $OAB$ has radius $6\text{ cm}$ and angle $\dfrac{5\pi}{4}$ radians. Gi

Question

The shaded major sector $OAB$ has radius $6\text{ cm}$ and angle $\dfrac{5\pi}{4}$ radians. Give each answer exactly, in terms of $\pi$ where appropriate. Find the length of its major arc.[2] Find its perimeter.[2] Find its area.[2]

Accepted Answer

(a) $\dfrac{15\pi}{2}\text{ cm}$. (b) $\left(12+\dfrac{15\pi}{2}\right)\text{ cm}$. (c) $\dfrac{45\pi}{2}\text{ cm}^2$.

A major sector

A major sector

Solution:

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