Question 36

The circumference of the semicircle is 108 cm. If the side of a square is 30% more the diameter of the semicircle, what is the perimeter of the square ?

Solution

Let the radius of circle be R

Circumference of a semicircle is = 108

So,

R = $$\frac{108\times7}{36}$$

Diameter of circle is = 2R

As given side of a square is = 1.3 (2R)

and we know that perimeter of square = 4 x side of square

= perimeter = 4 x 1.3 x 2R = 218.4

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