Question

There is a circular track with the distance of track from centre as 10 m. Ram runs a distance of 21 m on the track. What is the angle in degrees covered by Ram with respect to the centre of track?

• A. ${76}^{\circ }$
• B. ${63}^{\circ }$
• C. ${56}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is B

${63}^{\circ }$

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)
$=\frac{Arclength}{Circumference}\times 360=\frac{21}{2\pi r}\times 360$

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