Question

a giant pie is created in an attempt to break a world record for baking. the pie is shown below:

d = 15 ft

what is the area of the slice of pie that was cut, rounded to the nearest hundredth?
22.08 ft²
24.45 ft²
26.32 ft²
28.07 ft²

Explanation:

Step1: Find radius of the pie

The diameter $d=15$ ft, so radius $r=\frac{d}{2}=\frac{15}{2}=7.5$ ft.

Step2: Calculate full circle area

Use circle area formula: $A_{full}=\pi r^2$
$A_{full}=\pi (7.5)^2=56.25\pi$ ft²

Step3: Find slice area (sector)

The slice is $\frac{45^\circ}{360^\circ}$ of the full circle:
$A_{slice}=\frac{45}{360} \times 56.25\pi$
Simplify $\frac{45}{360}=\frac{1}{8}$, so $A_{slice}=\frac{56.25\pi}{8}=7.03125\pi$
Calculate numerical value: $7.03125 \times 3.1416 \approx 22.089$

Step4: Round to nearest hundredth

$22.089 \approx 22.09$ (matches the first option's value, likely a rounding difference in intermediate steps)

Answer:

22.08 ft²