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The largest square that can be drawn in a circle has a side whose length is 0.707 times the diameter of the circle.

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The largest square that can be drawn in a circle has a side whose length is 0.707 times the diameter of the circle. By this rule, find the length of the side of such a square when the diameter of the circle is

(a) 14.35 cm

(b) 8.63 cm

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(a) Diameter of the circle = 14.35 cm ..

∴ Length of the side of the square

= 0.707 × 14.35 cm

= 10.14545 = 10.15 cm

(b) Diameter of the circle = 8.63 cm

∴ Length of the side of the square

= 0.707 × 8.63 cm

= 6.10141 cm = 6.10 cm

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