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A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path. - Mathematics and Statistics

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प्रश्न

A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path.

बेरीज
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उत्तर

Let S be the length of the path described by the extremity of the pendulum.

Then S = r·θ

where r = 14 cm and θ = 18°

= `(18 xx pi/180)^"c"`

= `pi^"c"/10`

∴ S = `14 xx pi/10`

= `(7pi)/5`

= `(7 xx 3.14)/5`

= `(21.98)/5`

= 4.4 cm. ...(approx.)

Hence, length of the path= 4.4 cm. ...(approx).

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Measures of Angles with Various Systems
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पाठ 1: Angle and its Measurement - EXERCISE 1.2 [पृष्ठ ११]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 1 Angle and its Measurement
EXERCISE 1.2 | Q 4 | पृष्ठ ११

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