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?

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.

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.

2. From the diagram given below, what is the relation between ∠BAC and ∠BCD?

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.

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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