Question

Determine the area of the shaded sector. Use 3.14 for pie. Round your answer to the nearest tenth.

Answer 1

First, we need to calculate the area of the complete circle

$A=\pi\cdot r^2$$A=3.14\cdot9^2=254.34in^2\text{ }$

then we need to know the portion of the circle that is shaded

360°---- 100%

75° ------ x

$x=\frac{75\cdot100}{360}=20.8\text{ \%}$

we need to obtain the 20.8 % of the area

254.34*(.208)=52.90in^2

the area shaded is 52.9 in^2