Circle: Example

Circle
 Circle is a plane figure bounded by a single curved line, every point of which is equally distant from the point at the center of the figure.
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Example: In the figure below, find mPQB where O is the centre of the circle.
Solution: Since angle in a semi-circle is a right angle.
 CPD = 90 In CPD, we have PCD + PDC + CPD = 180 PCD + 32+ 90 = 180 PCD = 58 Consider arc DP. We find thatPCD andPQD are angles in the same segment of a circle. PQD =PAD       ...[Angles in the same segment are equal] PQD = 58

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