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Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of π6 at the centre.

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प्रश्न

Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of `pi/6` at the centre.

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उत्तर

Plane Angle α = `"Arc length"/"Radius" = s/r`


According to the problem, θ = `pi/6 = s/31` cm

Hence, length of arc = s = `31 xx pi/6` cm`

= `(31 xx 3.14)/6` cm

= 16.22 cm

Rounding off to three significant figures it would be 16.2 cm.

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अध्याय 2: Units and Measurements - Exercises [पृष्ठ १०]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
अध्याय 2 Units and Measurements
Exercises | Q 2.32 | पृष्ठ १०

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