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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 ∠Apb = A°. Calculate, in Terms of A°, the - 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 : obtuse ∠AOB,

Give reasons for your answers clearly.

Solution

 

Obtuse ∠AOB = 2°∠APB = 2a° 

(Angle at the centre is double the angle at the circumference subtended by the same chord)

  Is there an error in this question or solution?
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 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 17: Circles
Exercise 17(A) | Q: 33.1 | Page no. 260
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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 ∠Apb = A°. Calculate, in Terms of A°, the Concept: Arc and Chord Properties - the Angle that an Arc of a Circle Subtends at the Center is Double that Which It Subtends at Any Point on the Remaining Part of the Circle.
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