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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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter