Circles5

Find the radius of the circle inscribed in the square.

36 cm
24 cm
72 cm
30 cm

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1 Answers

1357
Manish Shankar ·

Extend the smaller rectangle to get the two chord of the circle.
Let the side of square be a which is also the diameter of the circle.

The length of the two chords will be a-12 and a-24.

Join the other ends of the chords(It will be diameter of the circle Why?)

so applying pythagoras

(a-12)2+(a-24)2=a2

solve for a and get a/2

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