Trigonometric Identities Question 104

Question: A circular wire of radius $ 7,cm $ is cut and bend again into an arc of a circle of radius $ 12cm $ . The angle subtended by the arc at the centre is

[Kerala (Engg.) 2002]

Options:

A) $ 50^{o} $

B) $ 210^{o} $

C) $ 100^{o} $

D) $ 60^{o} $

Show Answer

Answer:

Correct Answer: B

Solution:

Given that diameter of circular wire = 14cm Therefore length of circular wire = 14p cm.
$ \therefore $ Required angle $ =\frac{arc}{radius}=\frac{14\pi }{12}=\frac{7\pi }{6} $ $ =\frac{7}{6}\pi .\frac{180^{o}}{\pi }=210^{o} $ .