Trigonometric Identities Question 1
Question: The circular wire of diameter 10cm is cut and placed along the circumference of a circle of diameter 1 metre. The angle subtended by the wire at the centre of the circle is equal to
[MNR 1974]
Options:
A) $ \frac{\pi }{4}radian $
B) $ \frac{\pi }{3}radian $
C) $ \frac{\pi }{5}radian $
D) $ \frac{\pi }{10}radian $
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Answer:
Correct Answer: C
Solution:
Given, diameter of circular wire = $ 10cm $ , therefore length of wire = $ 10\pi $ . Hence required angle $ =\frac{arc}{radius}=\frac{10\pi }{50}=\frac{\pi }{5} $ radian.
BETA
