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In the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR=100°, then the measure of ∠PSR is:
Question

In the figure given below, PQ is the diameter of the circle with centre O. If ∠QOR=100°, then the measure of ∠PSR is:

A.

40°

B.

100°

C.

160°

D.

80°

Correct option is A

Given:
​PQ is the diameter of the circle.
∠QOR = 100°.
Concept Used:
Angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the circumference of the circle (this is a well-known property of a circle).
Angle in a semicircle: Any angle subtended by the diameter at the circumference is a right angle (90°).
Formula Used:  
In a circle,
Angle subtended by the arc on the center = 2 ×\times Angle subtended by the same arc on the circumference.
Solution:  
Angle subtended at the center=2×Angle subtended at the circumference text{Angle subtended at the center} = 2 \times \text{Angle subtended at the circumference}Solution: 

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