Question

Rani jogs along the boundary of a circular garden. If each of her steps is 88 cm long and she takes 400 steps to complete one round of the garden, what is the radius (in meters) of the garden? (Take π≈22/7)

Answer 1

Question:

• Rani jogs along the boundary of a circular garden. If each of her steps is 88 cm long and she takes 400 steps to complete one round of the garden, what is the radius (in meters) of the garden?

Given:

• Each step of Rani is 88cm long
• Rani takes 400 steps to complete one round.

To Find:

• Radius of the circular garden(in meters) = ?

Solution:

As Rani takes 400 steps to complete one round of the garden and her each step is 88cm long. Then,

Perimeter of the garden = (88×400)cm

                                        = 35200cm

                                        = 352m

∵ Circumference = 2πr

⇒ 2πr = 352

⇒ $2\times\frac{22}{7}\times r$ = 352

⇒ $\frac{44}{7}\times r$ = 352

⇒ $r = 352\div\frac{44}{7}$

⇒ $r = 352\times\frac{7}{44}$

⇒ $r = 56$

∴ Radius of the circle is 56m.

Extra Information:

• Area of a circle = πr²

• Area of semicircle = $\frac{1}{2}\times \pi r^2$

• Area of quadrant = $\frac{1}{4}\times \pi r^2$