Radian measure, arc length and sector area

Radian measure, arc length and sector area Quiz

Spec E1 · AQA A-Level Maths: Quiz

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  1. 1. Convert 5π12\frac{5\pi}{12} radians to degrees.

    • A. 60∘60^\circ
    • B. 75∘75^\circ
    • C. 150∘150^\circ
    • D. 105∘105^\circ

  2. 2. A sector has radius 8 cm and angle 0.75 radians. Find the arc length.

    • A. 33 cm
    • B. 2424 cm
    • C. 66 cm
    • D. 10.710.7 cm

  3. 3. A sector has radius 8 cm and angle 0.75 radians. Find its area.

    • A. 2424 cm2^2
    • B. 66 cm2^2
    • C. 4848 cm2^2
    • D. 1212 cm2^2

  4. 4. A sector has arc length 12 cm and radius 4 cm. Find its angle.

    • A. 13\frac13 radians
    • B. 4848 radians
    • C. 1.51.5 radians
    • D. 33 radians

  5. 5. A circle of radius 6 cm has a chord subtending π2\frac{\pi}{2} at the centre. Find the area of the minor segment.

    • A. 18π−3618\pi-36 cm2^2
    • B. 9π−189\pi-18 cm2^2
    • C. 9π9\pi cm2^2
    • D. 9π−369\pi-36 cm2^2

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