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Question

Mathematics Question on Trigonometric Functions

Find the angle in radian through which a pendulum swings and its length is 75cm75\, cm and tip describes an arc of length 21cm21 \,cm.

A

7/257/25

B

6/256/25

C

8/258/25

D

3/253/25

Answer

7/257/25

Explanation

Solution

Given, length of pendulum =75cm= 75 \,cm Radius (r)=(r) = length of pendulum =75cm= 75\, cm Length of arc (l)=21cm(l) = 21 \,cm Now, θ=lr=2175\theta=\frac{l}{r}=\frac{21}{75} =725=\frac{7}{25} radian