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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 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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Unit Wise Class Test
T-3
Unit 8: Chords and Arcs of a Circle
Time: 5 minutes
(Objective Type)
Total Marks: 5
(1 × 5 = 5)
1. Tick the correct answer.
(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:
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Unit Wise Class Test
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) What is the difference between major arcs and minor arcs?
(ii) Prove that a unique circle can pass through the points
A(1, 1), B(4, 2) and C(3, 5).
(iii) In a circle,
mAB = 8 cm
is bisected at point P by a line segment from the centre O.
Find mOP
if radius is 5 cm.
(iv) Calculate the length of a chord which stands at a distance of
5 cm from the centre of a circle whose radius is 13 cm.
(v) In construction, three steel rods are fixed at points A, B,
and C (not in a straight line). A circular hoop needs to pass
through all three. How many hoops can be used?
(vi) Two holes A and B are drilled 12 cm apart on a circular
tabletop of radius 10 cm. Find the perpendicular distance from
the centre to AB.
Note: Answer the following Questions.
(4 + 4 = 8)
3. In a circular fountain of radius 8m, a pipe AB spans across
the fountain. If
mAB = 12 m
and O is centre of the circle. Find the distance from O to the
chord AB.
4. Chord AB of 24 m is across a circular arch of radius 13 m.
Find the height of the chord from the centre.
