Mathematics Questions and Answers – Angle Subtended by an Arc of a Circle

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This set of Mathematics Online Quiz for Class 9 focuses on “Angle Subtended by an Arc of a Circle”.

1. From the diagram given below, if ∠AOB is the angle subtended by an arc AB, then what is the relation between ∠AOB and ∠ACB?
maths-questions-answers-angle-subtended-arc-circle-q1
a) ∠AOB = ∠ACB
b) ∠AOB = 2∠ACB
c) ∠AOB = 3∠ACB
d) ∠AOB = 0.5∠ACB
View Answer

Answer: b
Explanation: According to theorem 10.8, the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
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2. From the diagram given below, what is the relation between ∠BAC and ∠BCD?
maths-questions-answers-angle-subtended-arc-circle-q2
a) ∠BAD = ∠BCD
b) ∠BAD = 2∠BCD
c) ∠BAD = 0.5∠BCD
d) ∠BAD = 3∠BCD
View Answer

Answer: a
Explanation: According to theorem 10.9, angles in the same segment are same.
We can see that angles ∠BAC and ∠BCD are in the same segment and hence ∠BAD = ∠BCD.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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To practice Mathematics Online Quiz for Class 9, here is complete set of 1000+ Multiple Choice Questions and Answers.

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