17. Four circles of radius r1 are inscribed inside a square of side 4r1 as shown...

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17. Four circles of radius r1 are inscribed inside a square of side 4r1 as shown in the diagram below. (a) What is the radius r2 of the largest circle that can fit in the space at the centre of the square, bounded by the outer circles? (b) If 8 spheres of radius r₁ are now similarly arranged inside a cube of edge length 4r₁, what is the radius r3 of the largest sphere that can fit in the space at the centre of the cube? 12 4r₁ 1₁ [3] [3] 17. Four circles of radius r1 are inscribed inside a square of side 4r1 as shown in the diagram below. (a) What is the radius r2 of the largest circle that can fit in the space at the centre of the square, bounded by the outer circles? (b) If 8 spheres of radius r₁ are now similarly arranged inside a cube of edge length 4r₁, what is the radius r3 of the largest sphere that can fit in the space at the centre of the cube? 12 4r₁ 1₁ [3] [3]

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In the first question we apply Simply the pythegorus theoram on the square ... View the full answer