3.4 Radians, arcs and sectors

3.4 Radians, arcs and sectors Quiz

IB Maths: Analysis and Approaches HL: Quiz

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  1. 1. Convert 240∘240^\circ to radians.

    • A. 4π3\frac{4\pi}{3}
    • B. 3π4\frac{3\pi}{4}
    • C. 2π3\frac{2\pi}{3}
    • D. 5π3\frac{5\pi}{3}

  2. 2. Find the arc length of a sector with radius 9 cm and angle π3\frac{\pi}{3}.

    • A. 27π27\pi cm
    • B. 3π3\pi cm
    • C. 27π2\frac{27\pi}{2} cm
    • D. 540540 cm

  3. 3. Find the area of a sector with radius 4 cm and angle 1.5 radians.

    • A. 66 cm2^2
    • B. 2424 cm2^2
    • C. 1212 cm2^2
    • D. 33 cm2^2

  4. 4. A sector has radius 5 cm and area 1010 cm2^2. Find its angle.

    • A. 0.40.4 rad
    • B. 0.80.8 rad
    • C. 22 rad
    • D. 44 rad

  5. 5. Find the area of the minor segment when r=6r=6 and θ=π2\theta=\frac{\pi}{2}.

    • A. 9π9\pi
    • B. 9π−189\pi-18
    • C. 9π−369\pi-36
    • D. 18−9π18-9\pi

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