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

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Solution

The correct option is C

Given, diameter of circular wire = 10cm, therefore length of wire = $10 π$ .

Hence required angle = $\frac{a r c}{r a d i u s} = \frac{10 π}{50} = \frac{π}{5}$ radian.

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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

The correct option is C Given, diameter of circular wire = 10cm, therefore length of wire = 10π. Hence required angle = arcradius=10π50=π5 radian.

The correct option is C

Given, diameter of circular wire = 10cm, therefore length of wire = $10 π$ .

Hence required angle = $\frac{a r c}{r a d i u s} = \frac{10 π}{50} = \frac{π}{5}$ radian.