Page 77 - Mathematics Class - X

MCQs

1. What is the central angle of a circle of radius 21 cm, if length of the arc is 22 cm?
a) 30° b) 45° c) 60° d) 100°
2. If a thread of length a cm is converted into a circle, what will be its area?

a a a 2 a 2
a) b) c) d)
4π 4π 2 4 4π
3. Find out the length of circular arc subtending an angle of 60° at centre and radius 14 cm.

44
a) 14 cm b) 44 cm c) cm d) None of these
3
4. If area of minor segment is p cm and radius is 7 cm, what will be the area of its major segment?
2
a) 48 p cm b) 49 p cm c) 7 p cm d) None of these
2
2
2
5. Point of a circle equidistant from all points on its circumference is called
a) corner b) centre c) mid-corner d) can't say

a 2 44
Answers: 1. c) 60° 2. d) 3. c) cm 4. a) 48p cm 5. b) centre
2
4π 3

Case-Study Based Questions
Case-Study Based Questions
A farmer has a rectangular field of length 40 m and breadth 20 m.
By the farmer a pit of diameter 7 m is dug 12 m deep for rain
harvesting. The earth taken out is spread in the field.
20 m

40 m

Based upon the above information, answer the following questions.

1. Find the volume of the earth taken out.
(a) 460 m (b) 462 m (c) 465 m (d) 468 m 3
3
3
3
2. The area of rectangular field is
(a) 820 m (b) 600 m (c) 800 m (d) 720 m 2
2
2
2
3. Find the area of the top of the pit
(a) 38.5 m (b) 36.5 m (c) 40.5 m (d) 41.5 m 2
2
2
2
4. Area of the remaining field is
(a) 711.5 m (b) 680 m (c) 750 m (d) 761.5 m 2
2
2
2

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