Q14 of 22 Page 126

In the adjoining figure, if O is centre of circle, the value of ∠POR is

In ΔORQ,


∠ROQ = 180 – 40 – 40


⇒ ∠ROQ = 100°


In ΔPOQ,


∠POQ = 180 – 10 – 10


⇒ ∠ROQ = 160°


∠POR = 160 – 100


⇒ ∠POR = 60°

More from this chapter

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14

In the adjoining figure, if O is centre of circle and BC is the diameter then the value of x is

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O is the circumcentre of Δ ABC and ∠OAB = 50°, then the value of ∠ACB is

 14

Let us write whether the following statements are true of false”

(i) In the adjoining figure, if O is centre of circle, then ∠AOB = 2 ∠ACD



(ii) The point O lies within the triangular region ABC in such a way that OA = OB and ∠AOB = 2∠ACB. If we draw a circle with centre O and length of radius OA, then the point c lies on the circle.

 14

Let us fill in the blanks

(i) The angle at the centre is ______ the angle on the circle, subtended by the same arc.


(ii) The length of two chord AB and CD are equal of a circle with centre O. If ∠APB and ∠DQC are angles on the circle, then the values of the two angles are_______.


(iii) If O is the circumcentre of equilateral triangle, then the value of the front angle formed by any side of the triangle is_______.