Question

a giant pie is created in an attempt to break a world record for baking. the pie is shown below: what is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft² 13.19 ft² 33.14 ft² 28.97 ft²

Explanation:

Step1: Find the radius of the circle

The diameter $d = 20$ ft, so the radius $r=\frac{d}{2}=\frac{20}{2}=10$ ft.

Step2: Use the formula for the area of a sector

The formula for the area of a sector of a circle is $A=\frac{\theta}{360}\times\pi r^{2}$, where $\theta$ is the central - angle of the sector and $r$ is the radius of the circle. Here, $\theta = 38^{\circ}$ and $r = 10$ ft.
Substitute the values into the formula: $A=\frac{38}{360}\times\pi\times(10)^{2}$.

Step3: Calculate the area

$A=\frac{38}{360}\times\pi\times100=\frac{3800\pi}{360}=\frac{190\pi}{18}\approx\frac{190\times3.14159}{18}\approx33.14$ ft².

Answer:

$33.14$ ft²