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प्रश्न
A piece of wire 20 cm long is bent into the form of an arc of a circle of radius `60/pi` cm. The angle subtended by the arc at the centre of the circle is ______.
विकल्प
30°
60°
90°
50°
MCQ
रिक्त स्थान भरें
उत्तर
A piece of wire 20 cm long is bent into the form of an arc of a circle of radius `60/pi` cm. The angle subtended by the arc at the centre of the circle is 60°.
Explanation:
Given:
- Length of the wire = 20 cm
- Radius of the circle = `60/π`
s = rθ
`20=(60/pi)theta`
`theta = (20pi)/60`
`theta = pi/3` radius
1 radian = `(180°)/pi`
`theta = pi/3 xx (180°)/3`
= 60°
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