Question

A circular piece of wood has a circumference of exactly 60.5 inches.Which measurements is closest to the radius, in inches, of the price of wood?(cause 3.14 as an approximation of π)A. 4.4B. 9.6C. 19.3D. 95.0

Answer 1

A circular piece of wood has a circumference of exactly 60.5 inches

Which measurement is closest to the radius, in inches, of the piece of wood?

Recall that the circumference of a circular shape is given by

`C=2\pi r`

Where r is the radius.

Substitute C = 60.5 into the above formula and solve for r

`\begin{gathered} 60.5=2\pi r \\ (60.5)/(2\pi)=r \\ (60.5)/(2(3.14))=r \\ 9.6=r \\ r=9.6 \end{gathered}`

Therefore, the radius of the piece of wood is 9.6 inches.

Option B is the correct answer.