Question

7. BAKING Chelsea is baking pies for a fundraiser at her school. Shedivides each 9-inch pie into 6 equal slices.a. What is the area, in square inches, for each slice of pie?b. If each slice costs $0.25 to make and she sells 8 pies at $1.25 foreach slice, how much money will she raise?-3 Areas of Circles and Sectors

Answer 1

Given

BAKING Chelsea is baking pies for a fundraiser at her school. She

divides each 9-inch pie into 6 equal slices.

Step 1

Find the area of circle

$\begin{gathered} r=9 \\ \text{Area of circle =}\pi r^2 \\ \text{Area of the circular pie =}\pi9^2 \\ \\ \text{Area of the circular pie =}81\pi \end{gathered}$

Step 2

She divides each 9-inch pie into 6 equal slices.

$\frac{81\pi}{6}=\frac{27\pi}{2}$

The area in square inches, for each slice of pie

$\frac{27\pi}{2}=\: 42.4115inches^2$

Part B

If each slice costs $0.25 to make and she sells 8 pies at $1.25 for each slice

$\begin{gathered} 1\text{ pie =6slices} \\ 8\text{ pie =6}\times8 \\ 8\text{ pie =48 slices} \end{gathered}$

Now

To make pie

$48\times0.25=12$

sells

$48\times1.25=60$

Profit = S. p - C.P

$60-12\text{ =\ 48}$