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Class 10 Mathematics Unit 8 Chords and Arcs of a Circle – Unit Wise Class Test 3 | Punjab Board 2027 Model Papers
Class 10 Math Chapter 8 Test 3
Class 10 Mathematics Unit 8: Chords and Arcs of a Circle – Unit Wise Class Test 3 Exercise No. 8.2 and Review Exercise is a useful practice paper for students preparing for the Punjab Board 2027 Model Papers. This Class 10 Mathematics test covers important concepts related to chords, arcs of a circle, radius, diameter, secant lines, and perpendicular distance from the centre to a chord. Students can use this Unit Wise Class Test 3 for board-pattern practice, revision, and preparation according to the Punjab Board 2027 paper pattern.
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Exercise No.8.2 & Review Exercise
T-3
Unit 8: Chords and Arcs of a Circle
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) Set of all the points in a plane that are at the same distance
from a fixed point is called:
(ii) If C is the circumference of a circle then its diameter can be
calculated by the formula
d =
(iii) Number of different circles can pass through three
non-collinear points is:
(iv) Relation between radius r and diameter d of a circle is:
(v) The line shown in the figure is called:
786Times
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Exercise 8.2 & Review Exercise
T-3
Unit 8: Chords and Arcs of a Circle
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) Two congruent arcs in a circular track subtend angles of
60° each at the centre. If the length of one chord of the circle
is 10 metres, what is the length of other chord?
(ii) In two congruent circular clocks, the minute hand points
from the centre to the 3 on both. A decorative string connects
3 to 9 on both clocks. Are the arcs from 3 to 9 on both clocks
congruent?
(iii) In a circular park, two walkways
AB and
CD are both straight paths
(chords) of length 14 metres. What can be said about the
minor arcs subtended by these walkways?
(iv) On a circular clock with radius of 6cm, the points from
2 to 10 form a chord that is 10cm, long. Find the perpendicular
distance from the centre of clock to the chord.
(v) A chord 6cm long is at a distance of 4cm from the centre.
Calculate the radius of the circle.
(vi) Jannat is designing a triangular garden with corners at
points A(2, 1), B(4, 4) and C(1, 5). Can she install a circular
fountain that touches all three corners?
Note: Answer the following Questions.
(4 + 4 = 8)
3. A steel bar 6m long lies inside a circular
structure with ends on the circle. It is bisected by a
perpendicular rod from the centre. Find the radius of the
circular structure if the perpendicular distance from the
centre to the bar is 4m.
4. A tree branch lies across a circular pond,
forming a 20m chord. A measuring rod having length 10m is
perpendicular to chord from the centre. What is the radius of
the pond?
