Find the area. Leave your answer in terms of pi.
-A sector with radius 3 mm and interior angle 142°
A) $9 \pi \mathrm { mm } ^ { 2 }$
B) $\frac { 71 } { 10 } \pi \mathrm { mm } ^ { 2 }$
C) $\frac { 71 } { 60 } \pi \mathrm { mm } ^ { 2 }$
D) $\frac { 71 } { 20 } \pi \mathrm { mm } ^ { 2 }$

Question

Find the area. Leave your answer in terms of pi.
-A sector with radius 3 mm and interior angle 142° 
A) $9 \pi \mathrm { mm } ^ { 2 }$
B) $\frac { 71 } { 10 } \pi \mathrm { mm } ^ { 2 }$
C) $\frac { 71 } { 60 } \pi \mathrm { mm } ^ { 2 }$
D) $\frac { 71 } { 20 } \pi \mathrm { mm } ^ { 2 }$

Quizplus · Accepted Answer

The area of a sector is given by $\frac{\theta}{360} \times \pi r^2$. Substituting $\theta = 142^\circ$ and $r = 3$, the area is $\frac{142}{360} \times \pi \times 3^2 = \frac{71}{180} \times 9\pi = \frac{71}{20} \pi \mathrm{mm}^2$.

Find the Area 9πmm29 \pi \mathrm { mm } ^ { 2 }9πmm2

Find the Area $9 \pi \mathrm { mm } ^ { 2 }$