Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.
-$\mathrm { r } = 7.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }$ radians
A) $15.4 \mathrm { ft } ^ { 2 }$
B) $7.3 \mathrm { ft } ^ { 2 }$
C) $102.6 \mathrm { ft } ^ { 2 }$
D) $51.3 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector is given by $\frac{1}{2} r^2 \theta$. Substituting $r = 7.0$ and $\theta = \frac{2\pi}{3}$, the area is $\frac{1}{2} \times 7^2 \times \frac{2\pi}{3} = 51.3 \mathrm{ft}^2$.

Find the Area of a Sector of a Circle Having r=7.0ft,θ=2π3\mathrm { r } = 7.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }r=7.0ft,θ=32π​

Find the Area of a Sector of a Circle Having $\mathrm { r } = 7.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }$