A walkway has the shape of an annular sector. Its inner and outer radii are $5\text{ m}$ and \(8\t

Question

A walkway has the shape of an annular sector. Its inner and outer radii are $5\text{ m}$ and $8\text{ m}$, and its angle is $\dfrac{\pi}{3}$ radians. Give each answer exactly, in terms of $\pi$. Find the area of the walkway.[3] Find the total length of edging needed for all four parts of its boundary.[3]

Accepted Answer

(a) $\dfrac{13\pi}{2}\text{ m}^2$. (b) $\left(6+\dfrac{13\pi}{3}\right)\text{ m}$.

An annular walkway

An annular walkway

Solution:

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