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1 Pure Mathematics

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Question 149

A chord AB AB\,AB of a circle has length 10 cm. The perpendicular distance from the centre O O\,O to the chord is 12 cm. The angle AOB AOB\,AOB is θ \theta\,θ radians.

a.

Find the radius of the circle.

[2]
b.

Show that θ=2tan⁡−1 ⁣(512)\displaystyle \theta=2\tan^{-1}\!\left(\frac5{12}\right)θ=2tan−1(125​).

[2]
c.

Find the exact area of the minor segment bounded by AB AB\,AB and the minor arc ABABAB.

[3]
Markscheme

1 Pure Mathematics Questions

  1. A Level
  2. /Maths
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