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Year 11 (2026) Maths Advanced (2026) Trigonometry and Measure of Angles

Segments

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Question 1
204215

A chord of a circle of radius \(r\) subtends an angle \(\theta\) (in radians) at the centre. Which expression gives the area of the minor segment?

A.

\(\dfrac{1}{2}r^2(\sin\theta-\theta)\)

B.

\(\dfrac{1}{2}r^2\theta-\dfrac{1}{2}r\sin\theta\)

C.

\(\dfrac{1}{2}r(\theta-\sin\theta)\)

D.

\(\dfrac{1}{2}r^2(\theta-\sin\theta)\)

\(\dfrac{1}{2}r^2(\theta-\sin\theta)\)

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