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Area of a quarter circle or semicircle from y = sqrt(a^2 - x^2)

This type of question, asked 5 times: 10 May 2023 S1, 10 May 2024 S1, 11 Apr 2026 S1, 13 Apr 2026 S1, 20 Apr 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    114
    Area (in sq. units) lying in the first quadrant and bounded by the circle x2+y2=4x^2+y^2=4 and the lines x=0x=0 and x=2x=2 is

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  2. Question 2

    10 May 2024 S1

    120
    Area of region bounded by y=49−x2y=\sqrt{49-x^2} and X-axis is

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  3. Question 3

    11 Apr 2026 S1

    84
    ∫039−x2 dx=\displaystyle\int_0^3\sqrt{9 - x^2}\,dx =

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  4. Question 4

    13 Apr 2026 S1

    82
    The area of the region (in sq.units) bounded by the curve y=21−x2y = 2\sqrt{1 - x^2} and the X-axis is _____

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  5. Question 5

    20 Apr 2026 S2

    85
    The area in square units of the region bounded by the curve y=16−x2y = \sqrt{16 - x^2} and lines x=0,x=4x = 0, x = 4 above the X-axis is

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