Question

1. joshua is eating pie in mr. khans room. the pie has a radius of 86 cm; his piece of pie has a central angle of \\( \frac { 7 \pi } { 18 } \\). what length of cheesy crust did he have? give an exact answer, no marks given for decimal answer. c - 1 mark

Explanation:

Step1: Recall the arc - length formula

The formula for the arc - length \(s\) of a circle is \(s = r\theta\), where \(r\) is the radius of the circle and \(\theta\) is the central angle in radians.

Step2: Substitute the given values into the formula

Given \(r = 86\) cm and \(\theta=\frac{7\pi}{18}\). Then \(s=86\times\frac{7\pi}{18}\).
Simplify the expression: \(s=\frac{602\pi}{18}=\frac{301\pi}{9}\) cm.

Answer:

\(\frac{301\pi}{9}\) cm