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

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Question 1
204210

An arc of a circle of radius \(r\) subtends an angle \(\theta\) (in radians) at the centre. The ratio \(\dfrac{\text{arc length}}{\text{circumference}}\) equals \(\dfrac{\theta}{2\pi}\).

Use this to show that the arc length is \(l=r\theta\).

Shown in the worked solution: \(l=r\theta\)

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