A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle?

1 Answer
Kalyanam S. · sankarankalyanam
Jul 17, 2018

Radius of the circle #color(purple)(= 7 cm#

Explanation:

http://engineeringtraining.tpub.com/14069/css/Square-Circumscribed-On-A-Given-Inscribed-Circle-143.htm

Circumference of circle #= pi d#

Perimeter of square = 4 d#

Given the side of the square and diameter of the circle equal. Let it be ‘d’.

#:. pi d + 4 d = 100 cm#

#d * (pi + 4) = 100 cm#

#d = 100 / (pi + 4) ~~ 14 cm#

Radius of the circle #r = d / 2 = 14/2 = 7 cm#

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