Solve the problem.
-A pendulum swings through an angle of $18 ^ { \circ }$ each second. If the pendulum is $20 \mathrm {~cm}$ in length and the complete swing from right to left lasts 2 seconds, what area is covered by each complete swing? Round to the nearest hundredth.
A) $62.83 \mathrm {~cm} ^ { 2 }$
B) $6.28 \mathrm {~cm} ^ { 2 }$
C) $251.33 \mathrm {~cm} ^ { 2 }$
D) $125.66 \mathrm {~cm} ^ { 2 }$

Question

Quizplus · Accepted Answer

The pendulum swings through a total angle of $36^\circ$ in a complete swing (right to left and back). The area covered by the swing is a sector of a circle with radius $20 \mathrm{~cm}$ and angle $36^\circ$. The area of the sector is $\frac{36}{360} \times \pi \times (20)^2 = 125.66 \mathrm{~cm}^2$.

Solve the Problem 18∘18 ^ { \circ }18∘ Each Second 20 cm20 \mathrm {~cm}20 cm

Solve the Problem $18 ^ { \circ }$ Each Second $20 \mathrm {~cm}$