R S Aggarwal Solutions for Exercise 1: EXERCISE 14

The degree measure of the angle subtended at the centre of a circle of diameter $60 \mathrm{cm}$ by an arc of length $16.5 \mathrm{cm}$ is $k°{30}^{\text{'}}$. Find $k$

In a circle of diameter $30 \mathrm{cm}$, the length of a chord is $15 \mathrm{cm}$. Find the length of the minor arc of the chord.     [Enter the value excluding units]

Find the angle in radians as well as in degrees through which a pendulum swings if its length is $45 \mathrm{cm}$ and its tip describes an arc of length $11 \mathrm{cm}$.

The large hand of a clock is $42 \mathrm{cm}$ long. How many centimetres does its extremity move in $20$ minutes?

A wheel makes$180$ revolutions in $1$minute.Through $k\mathrm{\pi }$ radians does it turn in $1$second. Find the value of $k$.

A train is moving on a circular curve of radius $1500 \mathrm{m}$ at the rate of $66 \mathrm{km}$ per hour. Through what angle has it turned in $10$ seconds?

A wire of length $121 \mathrm{cm}$ is bent so as to lie along the arc of a circle of radius $180 \mathrm{cm}$. Find in degrees, the angle subtended at the centre by the arc.

The angles of a quadrilateral are in $A.P$, and the greatest angle is double the least. Express the least angle in radians.