There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 11 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?

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Solution

The radius of circle is the distance of track from centre = 10 m
The path covered by Ram is the arc Length = 11 m

Angular displacement (in degrees)
$= \frac{A r c l e n g t h}{C i r c u m f e r e n c e} \times 360 ° = \frac{11}{2 π r} \times 360 °$

$= \frac{11 \times 7}{2 \times 22 \times 10} \times 360 ° = 63^{\circ}$ (2 mark)

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There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 11 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?

The radius of circle is the distance of track from centre = 10 m The path covered by Ram is the arc Length = 11 m Angular displacement (in degrees) =Arc lengthCircumference× 360°=112πr × 360° =11×72×22×10 × 360°=63∘ (2 mark)