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UNIT TEST

Unit test · Ch 11: Areas Related to Circles

20marks
11questions
60%to pass
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Series RTEQ.P. Code 45/1/-1
Roll No.

RTE LEARN · CBSE PATTERN 2026–27

MATHEMATICS

Unit test · Ch 11: Areas Related to Circles

Time allowed : 40 MinutesMaximum Marks : 20

General Instructions :

Read the following instructions carefully and follow them :

(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.

SECTION A

This section comprises 5 questions of 1 mark each.

1.
Find the perimeter of a semicircle of radius 7 cm. (Use π = 22/7)
1
2.
Find the area of a quadrant of a circle of radius 21 cm. (Use π = 22/7)
1
3.
What is meant by the minor segment of a circle?
1
4.
Through what angle does the minute hand of a clock turn in 20 minutes?
1
5.
Find the length of the arc of a circle of radius 14 cm that subtends an angle of 90° at the centre. (Use π = 22/7)
1

SECTION B

This section comprises 3 very short answer (VSA) type questions of 2 marks each.

6.
Find the area of a ring between two concentric circles of radii 10 cm and 6 cm. (Use π = 3.14)
2
7.
The arc of a sector of a circle of radius 14 cm has length 22 cm. Find the area of the sector.
2
8.
Find the area of a sector of angle 150° in a circle of radius 12 cm. (Use π = 3.14)
2

SECTION C

This section comprises 3 short answer (SA) type questions of 3 marks each.

9.
A chord of a circle of radius 8 cm subtends 60° at the centre. Find the area of the minor segment correct to 2 decimal places. (Use π = 3.14 and √3 = 1.73)
3
10.
A horse is tied to a peg at one corner of a square field of side 20 m by a rope 8 m long. Find the area it can graze. If the rope is lengthened to 12 m, find the increase in the grazing area. (Use π = 3.14)
3
11.
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. (Use π = 3.14)
3

✦ ✦ ✦

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An example of what the app shows after checking. Each answer gets step marks and a short comment:

Q6 · 2/2Full marks. Correct method and the final answer is clearly stated.
Q7 · 1/2Right approach, but one step of working is missing. Show every step to get full marks.
Q8 · 2/2Well explained, with correct units and a neat diagram.
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