Question

Thanks for the help if u can answer!!

Please help and thank you!!!


If the length of a minute hand in a clock is 28 inches, which of these is the closest to the total area covered by the minute hand after four rotations?

A. 28 sq (square) inches

B. 168 sq inches

C. 784 sq inches

D. 3136 sq inches

Answer 1

if the minute hand of the circular clock is 28 inches, that simply means its radius is 28.

`\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=28\end{cases}\implies A=\pi 28^2\implies A=784\pi`

so it covers that much in 1 rotation, so in 4 rotations that'd be 4(784π) => 3136π.