Question

Lenny makes a circular wooden sculpture with one end cut off so that the sculpturewill stand up. The diameter of the sculpture is fourteen inches. What is the arc lengthof the remaining part of the circle (PAQ)? Round to the nearest tenth of an inch. Use3.14 for pi.76.9 in.A38.5 in.14 in.19.2 in.45°Р5.5 in.

Answer 1

Given data:

Diameter = 14 inches

Radius = diameter / 2

= 14 / 2

= 7 inches

Length of an arc PAQ,

$l=r\theta$

Here, r = 7

$l=7\times45^{\circ}$$\begin{gathered} l=\frac{135^{\circ}}{360}\times2\pi r \\ =\frac{\text{ 135}}{360}\times2\times3.14\times7 \\ =38.5 \end{gathered}$

Thus, the length is 38.5 inches