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.
-$\mathrm { r } = 18.1 \mathrm {~cm} , \theta = \frac { \pi } { 7 }$ radians
A) $23.4 \mathrm {~cm} ^ { 2 }$
B) $73.5 \mathrm {~cm} ^ { 2 }$
C) $147 \mathrm {~cm} ^ { 2 }$
D) $4.1 \mathrm {~cm} ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by the formula $A = \frac{1}{2} r^2 \theta$, where $r$ is the radius and $\theta$ is the central angle in radians. Substituting $r = 18.1 \, \text{cm}$ and $\theta = \frac{\pi}{7}$ radians, we get $A = \frac{1}{2} \times (18.1)^2 \times \frac{\pi}{7} \approx 73.5 \, \text{cm}^2$.

Find the Area of a Sector of a Circle Having r=18.1 cm,θ=π7\mathrm { r } = 18.1 \mathrm {~cm} , \theta = \frac { \pi } { 7 }r=18.1 cm,θ=7π​

Find the Area of a Sector of a Circle Having $\mathrm { r } = 18.1 \mathrm {~cm} , \theta = \frac { \pi } { 7 }$