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Question

Question: The radius of the circle whose arc of length \(15cm\) makes an angle of 3/4 radian at the centre is....

The radius of the circle whose arc of length 15cm15cm makes an angle of 3/4 radian at the centre is.

A

10cm10cm

B

20cm20cm

C

1114cm11\frac{1}{4}cm

D

2212cm22\frac{1}{2}cm

Answer

20cm20cm

Explanation

Solution

Angle =arcradius=15(3/4)cm= \frac{\text{arc}}{\text{radius}} = \frac{15}{(3/4)}cm

⇒ Radius = 20 cm.