Ab is a chord of a circle with radius r. If p is any point on the circle such that angle apb is a right angle, then ab is equal to
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Given:
- A chord in a circle = AB
- The radius of the circle = r
- ∠APB = 90°
To find:
AB
Solution:
- It is given to us that, ∠APB = 90°.
- We know that a right angle is formed inside a circle when a triangle is inscribed inside a semicircle.
- Thus, the chord used to form the right angle has to be the diameter of the circle.
- Thus, chord AB is the diameter of the circle, that is, it is equal to 2r.
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