91Ó°ÊÓ

A wheel rotates marking 20 revolutions per second. If the radius of the wheel is \(35 \mathrm{~cm}\), what linear distance does a point of its rim transverse in three minutes? (Take \(\pi=22 / 7)\)

A circular wire of radius \(7 \mathrm{~cm}\) is cut and bend again into an arc of a circle of radius \(12 \mathrm{~cm}\). The angle subtended by the arc at the centre is \mathrm{\\{} \text {\\{} K e r a l a ~ ( E n g g . ) ~ 2 0 0 2 ] ~ (a) \(50^{\circ}\) (b) \(210^{\circ}\) (c) \(100^{\circ}\) (d) \(60^{\circ}\)

If the angle between the hands of a clock be \(54^{\circ}\) and the time it reads be between 7 and 8 , find the time indicated by the clock.

Assuming the distance of the earth from the moon to be \(38400 \mathrm{~km}\) and the angle subtended by the moon at the eye of a person on the earth to be \(3 \mathrm{l}^{\prime}\) then the diameter of the moon is (a) \(3464 \frac{8}{63} \mathrm{~km}\) (b) \(2656 \frac{7}{65} \mathrm{~km}\) (c) \(4464 \frac{8}{63} \mathrm{~km}\) (d) None of these

The angle between the minute hand of a clock and the hour hand when the time is 7: \(20 \mathrm{AM}\) is (a) \(108^{\circ}\) (b) \(100^{\circ}\) (c) \(112^{\circ}\) (d) None of these

Find the degrees the angle subtended at the center of a circle of diameter \(50 \mathrm{~cm}\) by an arc of length \(11 \mathrm{~cm}\).

The angles of a triangle are in A.P. The number of degrees in the least is to the number of radians in the greatest as \(60: \pi .\) Find the angles in degrees.

The distance between \(6.00\) A.M. and \(3.15\) P.M. by the tip of the \(12 \mathrm{~cm}\) long hour hand in a clock is (a) \(\frac{35}{2} \pi \mathrm{cm}\) (b) \(18 \pi \mathrm{cm}\) (c) \(\frac{37}{2} \pi \mathrm{cm}\) (d) \(19 \pi \mathrm{cm}\)

Find in degrees and radians the angle between the hour hand and the minute hand of a clock at half past three.