R.K. Singh Solutions for Chapter: Circular Measure of Angles, Exercise 1: Model Questions

A wire is folded after cutting from a circular wire of radius $7.5 \mathrm{cm}$, in such a way that it fits with the perimeter of a ring. If radius of the ring is $120 \mathrm{cm}$ then angle subtended by the wire at the centre of the ring; in degree will be

The distance of the earth from the moon is $360000 \mathrm{km}$. If the angle subtended by the diametre of the moon at the cye of an observer is $30 \text{'}$ then diameter of moon is

What is the angle subtended by the cylinder of a $50 \mathrm{cm}$ long pendulum, if it's top makes an $10 \mathrm{cm}$ long $arc$

Ahorse is thered with a rope to a pillar. Horse follows a circular path and covers a distance of $88 \mathrm{m}$ with tightening the rope; in this horse sublends $72°$ angle at the centre. Length of the rope is

A wheel makes $180$ revolutions per minute. It will revolve is $1$ second through

If angular diameter of the moon is $30 .$ Then at what distance from eye a coin should be placed to hide the moon. The diameter of the coin is $2.2 \mathrm{cm}$.

What is the angle between hour and minute hands of a watch at $7:20\mathrm{AM}$ ?

The radian measure of angle formed between hour and minute hand at $3: 30.$