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EnglandMathsQuick questions

Pure mathematics: advanced

Quick questions on Radian measure, arc length, sector area and small-angle approximations - OCR A-Level Maths A

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are segments?
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A segment is the region between a chord and its arc. Find it by subtracting the triangle (formed by the two radii and the chord) from the sector.
What are small-angle approximations?
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When θ\theta is small and measured in radians, the functions are close to simple polynomials. These approximations let you simplify limits and model situations where angles are tiny.
What is q1?
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Convert 5π6\tfrac{5\pi}{6} radians to degrees. [1 mark]
What is q2?
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A sector has radius 1010 cm and angle 1.21.2 radians. Find its area. [2 marks]

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