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3.Trigonometrical Ratios, Functions and Identities
easy
The circular wire of diameter $10\,cm$ 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
A
$\frac{\pi }{4} \,\,radian$
B
$\frac{\pi }{3}radian$
C
$\frac{\pi }{5}\,\,radian$
D
$\frac{\pi }{{10}}\,\,radian$
Solution
(c) Given, diameter of circular wire $= 10\,cm$,
therefore length of wire = $10\pi $.
Hence required angle $ = \frac{{{\rm{arc}}}}{{{\rm{radius}}}} = \frac{{10\pi }}{{50}} = \frac{\pi }{5}\,\, radian.$
Standard 11
Mathematics
