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1 Pure Mathematics

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Question 589

A circle has radius 8 cm. A chord of the circle has length 10 cm and subtends an angle θ \theta\,θ at the centre.

a.

Show that θ=2sin⁡−1 ⁣(58)\displaystyle \theta=2\sin^{-1}\!\left(\frac58\right)θ=2sin−1(85​).

[2]
b.

Find the area of the minor segment cut off by the chord, giving your answer to three significant figures.

[2]
Markscheme

1 Pure Mathematics Questions

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