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

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

Explanation:

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