The diameters of the front and rear wheels of tractor are 80 cm and 2 m respectively.  Find the number of revolutions that rear wheel will make to cover the distance which the front wheel covers in 1400 revolutions. [Use \(\pi={22\over 7}\)]

4

(a)

An elastic belt is placed round the rim of a pulley of radius 5 cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm away from O. Find the length of the belt that is in contact with the rim of the pulley. Also find the shaded area . ( Use \(\pi =3.14,\sqrt { 3 } =1.73)\) 

4

(a)

In fig., PQRS is a square lawn with side PQ = 42 metres. Two circular flower beds are there on the sides PS and QR with centre at O, the intersection of its diagonals. Find the total area of the two flowers beds (shaped parts).

4

(a)

The long and short hands of a clock are 6 cm and 3 cm respectively. Find the sum of distance travelled by their tips in a day.

4

(a)

Find the diameter of the circle, which has circumference equal to the sum of the circumference of two circles with radii 7 cm and 14 cm.

4

(a)

From the given figure, calculate:
(i) the area of the shaded region and
(ii) the length of the boundary

4

(a)

The wheel of a car has diameter 56 cm.

(i) How much times does it rotate when the car has travelled 11 km?

(ii) If the wheel has rotated 25000 times when the car has travelled for 45 minutes, calculate speed in km/h.

4

(a)

The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 am and 6 : 40 am.

4

(a)

Calculate the area of the shaded portion in the given figure.

4

(a)

A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. Find the area of the major and minor segments. [Take \(\pi=3.14\)]

4

(a)

AOBC is a quadrant of a circle of radius 10 m. Calculate the area of the shaded portion. [Take \(\pi=3.14\)]

4

(a)

Find the area of the shaded region in the adjoining figure.

4

(a)

Four equal circles are described at the four corners of a square so that each touches two of the others. The shaded area enclosed between the circles is \(\\ \frac { 24 }{ 7 } \) cm².Find the radius of each circle. 

4

(a)

The diameters of the front and rear wheels of a tractor are 80 cm and 200 cm respectively. Find the number of revolutions of rear wheel to cover the distance which the front wheel covers in 800 revolutions.

4

(a)

A farmer has field of length 20 m and breadth 14 m. By the farmer a well of diameter 7 mis dug 10 m deep for villagers. The earth taken out is spread in the field. Find the level rise in the field. Write the value depicted.

4

(a)