It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m . The radius of the - Mathematics and Science MCQ UPTET Paper 2 (Maths & Science) 2026 | ExamTest.live

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It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m . The radius of the new park would be

Solution & Step-by-step Explanation

Calculate the radii of the two small circular parks from their diameters: r_{1} = \frac{16}{2} = 8 m r_{2} = \frac{12}{2} = 6 m Let the radius of the new circular park be R . According to the problem: Area of new park = Area of park 1 + Area of park 2 π R^{2} = π r_{1}^{2} + π r_{2}^{2} R^{2} = r_{1}^{2} + r_{2}^{2} R^{2} = 8^{2} + 6^{2} = 64 + 36 = 100 R = 100 = 10 m

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It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m . The radius of the new park would be

10 m

15 m

20 m

24 m

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