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In Each of the Following Figures, O is the Centre of the Circle. Find the Values of A, B and C. - ICSE Class 10 - Mathematics

ConceptChord Properties - Chords Equidistant from the Center Are Equal (Without Proof)

Question

In each of the following figures, O is the centre of the circle. Find the values of a, b and c.

Solution

(i) Here, b=1/2xx 130°

(Angle ate he centre is double the angle at the circumference subtended by the same chord)
⇒ b = 65°
Now, a + b 180°
(Opposite angles of a cyclic quadrilateral are supplementary)
⇒ a = 180°- 65°= 115°

Here, c = 1/2 Reflex (112°)
(Angle at the cente is double the angle at the circumference subtended by the same chord)
⇒ c=1/2 xx (360° - 112°)= 124°

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Solution In Each of the Following Figures, O is the Centre of the Circle. Find the Values of A, B and C. Concept: Chord Properties - Chords Equidistant from the Center Are Equal (Without Proof).
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