Find the area of a sector of a circle having radius r and central angle θ. If necessary, express the answer to the nearest
tenth.
-$\mathrm { r } = 24.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }$ radians
A) $52.6 \mathrm { ft } ^ { 2 }$
B) $603.2 \mathrm { ft } ^ { 2 }$
C) $1206.4 \mathrm { ft } ^ { 2 }$
D) $25.1 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector is given by the formula $ \frac{1}{2} r^2 \theta $. Substituting $ r = 24.0 $ ft and $ \theta = \frac{2\pi}{3} $ radians, the area is $ \frac{1}{2} \times 24^2 \times \frac{2\pi}{3} = 603.2 $ ft².

Find the Area of a Sector of a Circle Having r=24.0ft,θ=2π3\mathrm { r } = 24.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }r=24.0ft,θ=32π​

Find the Area of a Sector of a Circle Having $\mathrm { r } = 24.0 \mathrm { ft } , \theta = \frac { 2 \pi } { 3 }$