Given below are the

(a) Concepts questions

(b) Calculation problems

(c) Multiple choice questions

(d) Long answer questions

(e) Fill in the blank's

A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.

(a) 15.8 km/hr

(b) 16.2 km/hr

(c) 11 km/hr

(d) 18 km/hr

A car has wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minute when the car is travelling at a speed of 66km per hour?

(a) 5000

(b) 4375

(c) 5400

(d) 4400

If the circumference of a circle and the perimeter of a square are equal, then

(A) Area of the circle = Area of the square

(B) Area of the circle > Area of the square

(C) Area of the circle < Area of the square

(D) Nothing definite can be said about the relation between the areas of the circle and square

a. Rs 2000

b. Rs 1900

c. Rs 1925

d. Rs 1800

The side of a square is 10cm. The area of circumscribed and inscribed circles.?

(A) 157 cm

(B) 150 cm

(C) 147 cm

(D) 157 cm

The sum of the radii of two circles is 140cm and the difference of their circumference is 88cm.Find the diameters of the circles.

(a) 150 cm, 88 cm

(b) 158 cm,122 cm

(c) 160 cm,120 cm

(d) 154cm, 126 cm

If $\theta $ is the angle (in degrees) of a sector of a circle of radius r, then area of the sector is

(a) $ \frac {\pi r^2 \theta}{360}$

(b) $ \frac {\pi r^2 \theta}{180}$

(c) $ \frac {\pi r \theta}{180}$

(d) $ \frac {\pi r \theta}{90}$

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles?

(a) 9 cm

(b) 10 cm

(c) 15 cm

(d) 11 cm

Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm

(a) 44 cm

(b) 88 cm

(c) 22 cm

(d) 66 cm

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square?

a. $ \pi : 2$

b. $ 2 : \pi$

c. $ \pi : 4$

d. $ 4 : \pi$

If the sum of the areas of two circles with radii $R_1$ and $R_2$ is equal to the area of a circle of radius R, then

(A) $R_1 + R_2= R$

(B) $R_1^2 + R_2^2 = R^2$

(C) $R_1+ R_2 < R$

(D) $R_1^2 + R_2^2 < R^2$

The area of a circle inscribed in an equilateral triangle is 154 cm

(A) 72.7 cm

(B) 88 cm

(C) 75 cm

(D) 74.5 cm

Which one of these is True

(A) Distance travelled by a circular wheel of diameter z cm in one revolution is $2 \pi z$ cm

(B) The area of the circle inscribed in a square of side x cm, $\pi x^2 \; cm^2$

(C) If the area of a circle is 154 cm

(D) The perimeter of a square circumscribing a circle of radius y cm is 8y cm

A car travels 1km distance in which each wheel makes 450 complete revolutions. Find the radius of its wheels.

(A) 35.35 cm

(B) 34.35 cm

(C) 35.50 cm

(D) None of these

Two circles touch externally. The sum of their areas is 58 cm

(A) 6 cm, 4 cm

(B) 7cm, 3cm

(C) 9 cm , 1 cm

(D) 8 cm ,2 cm

A park is in the form of rectangle 120 m X100m. At the centre of the park there is a circular lawn. The area of park excluding lawn is 8700m

The minute hand of a clock is 10cm long. Find out the area of the face of the clock described by the minute hand between 9 A.M. and 9.35A.M.

Find the area of the sector of a circle with radius 4cm and of angle 30°. Also, find the area of the corresponding major sector. (Use Π=3.14)

An elastic belt is placed round the rim of a pulley of radius 5cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10cm from O. Find the length of the belt that is in contact with the rim of the pulley. Also, find the shaded area.

In a circle with centre O and radius 5cm, AB is a chord of length 5

The perimeter of a certain sector of a circle of radius 5.6m is 27.2m. Find the area of the sector.

A sector is cut off from a circle of radius 21cm. The angle of the sector is 120°. Find the length of its arc and the area.

A sector of 56° cut out from a circle contains area 4.4cm

1. (a)

2. (b)

4. (b)

4. (c)

5. (a)

6. (d)

7. (a)

8. (b)

9. (b)

10. (a)

11. (b)

12. (a)

13. (d)

14. (a)

15. (b)

16.32.40

17. 183.3 cm

18. 46.05 cm

19. 25/3, 3√3 Π

20. 25Π/3

21. 44.8

22. 44 cm, 462 cm

23. 3 cm

**Assignments****NCERT Solutions**

Class 10 Maths Class 10 Science