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Question
The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is ______.
Options
36°
70°
72°
80°
MCQ
Fill in the Blanks
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Solution
The length of a pendulum is 70 cm and it describes an arc of length 88 cm when swings. The angle subtended by the arc at the centre is 72°.
Explanation:
Given:
Length of pendulum (radius of circle) = 70 cm
Length of arc = 88 cm
Formula for arc length:
l = rθ
where θ is in radians.
Calculate θ:
`θ = l/r`
= `88/70`
= 1.2571 radians
Convert radians to degrees:
`θ = 1.2571 xx 180/π`
= 1.2571 × 57.2958
= 72°
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