Question

We are given a square of side 22 cm. A circle of maximum possible diameter is inscribed in this square. If a point is chosen at random inside the square, then the probability that it will lie inside the circle is ____________.

Answer 1

Answer:

0.785

Step-by-step explanation:

Hi,

Given a square of side 22 cm.

Area of the given square would be, A₁ = 22² = 484 cm²

Given that a circle of maximum diameter is inscribed

=> Maximum circle that can be inscribed is if diameter = side of the square

=> diameter of the cricle 'd' = 22 cm

=> radius of the circle 'r' = 11 cm.

Area of the circle - π*11*11 cm²

If a point is chosen at random inside a square then,

the probabiliy that it will lie inside the circle

= Area of the circle/ Area of the square

= π*11*11/22*22

=π/4 ≅ 0.785

Hope, it helped !