Question

Find the ratio of the boundaries of a circular field of radius 50 meter and of asquare field of side 22 m

Answer 1

Boundaries refer to the line which enclosed any figure.

In circle, boundary refers to circumference.

In square, boundary refers to perimeter.

Now,

Circle –

Radius = 50 m

Circumference = 2πr = 2 × $\dfrac{22}{7}$ × 50 = $\dfrac{2200}{7}$ m


Square –

Side = 22 m

Perimeter = 4 × side = 4 × 22 = 88 m


Now,

Ratio :

= $\dfrac{{\dfrac{2200}{7}}}{88}$

= $\dfrac{2200}{7 × 88}$

= $\dfrac{25}{7}$

= 25 : 7