Angle Subtended by Diameter on the Circle
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In the given fig, PQ is tangent at a point R of the circle with centre O. If ∠TRQ=30∘, find ∠PRS.
Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.
O is the centre of the circle as shown in the figure, ∠ORP=35∘ and the distance between P and Q through 'O' is 4 cm. What is the measure of ∠ROQ?
55∘
35∘
105∘
70∘
The values of x and y in the given figure are respectively
25∘ and 60∘
40∘ and 60∘
60∘ and 25∘
40∘ and 25∘
In the given figure, PQ is the diameter of the circle whose centre is O.
Given ∠ ROS = 42o, calculate ∠ RTS
AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines.
Find :
(i) ∠ PRB,
(ii) ∠ PBR,
(iii) ∠ BPR.
In the given figure, AB is a diameter of the circle. Chord ED is parallel to AB and ∠ EAB = 63o. Calculate : (i) ∠ EBA, (ii) ∠ BCD.
If AB is a chord of a circle with centre O, AOC is a diameter and tangent T at A as shown in the figure. Prove that ∠BAT = ∠ACB.
PQ is a chord of a circle with centre O and radius 6cm. PQ is of length 6 cm and divides the circle into two segments. The area of the minor segment is