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The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°. Calculate, in terms of a° - Mathematics

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Question

The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : ∠ADB.

Give reasons for your answers clearly.

Sum

Solution


Join AB.

∠ADB = ∠ACB = 180° – 2a° 

(Angle subtended by the same arc on the circle are equal)

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Chapter 17: Circles - Exercise 17 (A) [Page 260]

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Selina Mathematics [English] Class 10 ICSE
Chapter 17 Circles
Exercise 17 (A) | Q 33.3 | Page 260
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