PYQ Vault

Circle inside a square, triangle or rectangle: area left over

This type of question, asked 4 times: 14 Sep 2025 S2, 15 Sep 2025 S1, 15 Sep 2025 S3, 23 Sep 2025 S1. All 4 questions below, oldest first.

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  1. Question 1

    14 Sep 2025 S2

    71
    A square field of side 28 m has a circular pond in the center. If the area of the pond is 616 m2616\ \text{m}^2, what is the area of the remaining field?

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  2. Question 2

    15 Sep 2025 S1

    68
    A circular disc of radius 7 cm is inscribed inside an equilateral triangle. What is the approximate area of the remaining portion of the triangle?

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  3. Question 3

    15 Sep 2025 S3

    71
    A circular logo of radius 14 cm is fitted perfectly inside a square plaque. Find the area of unused square space around the circle.

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  4. Question 4

    23 Sep 2025 S1

    58
    A rectangular park is 60 m by 40 m. A semicircular pond of diameter 40 m is inside. What percent of the park's area does the pond occupy?

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