Solve the problem.
-A circle has a radius of 8 centimeters. Find the area of the sector of the circle formed by an angle of $60 ^ { \circ }$. If necessary, round the answer to two decimal places.
A) $33.51 \mathrm {~cm} ^ { 2 }$
B) $67.02 \mathrm {~cm} ^ { 2 }$
C) $2.22 \mathrm {~cm} ^ { 2 }$
D) $4.19 \mathrm {~cm} ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a sector of a circle is given by the formula $ \frac{\theta}{360} \times \pi r^2 $, where $ \theta $ is the central angle in degrees and $ r $ is the radius of the circle. For a circle with a radius of 8 cm and a central angle of 60 degrees, the area of the sector is $ \frac{60}{360} \times \pi \times 8^2 = \frac{1}{6} \times \pi \times 64 \approx 33.51 \, \text{cm}^2 $.

Solve the Problem 60∘60 ^ { \circ }60∘ If Necessary, Round the Answer to Two Decimal Places

Solve the Problem $60 ^ { \circ }$ If Necessary, Round the Answer to Two Decimal Places