If a circle with a diameter of 57.75 m is inscribed in a square, what is the probability that a point picked at random in the square is in the shaded region? Round the answer to the nearest thousandth. A. 0.005 B. 0.027 C 0.215 D. 0.785
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given :
Diameter of circle = 57.75 m
Area of square = Side²
We know, diameter of a circle inscribed in square is equal to it's side.
So, Area of square = (57.75)²
= 3335.06 m²
Area of circle = πr²
= 22/7 × 57.75/2 × 57.75/2
= 2620.40 m²
Shaded region = 3335.06 - 2620.40
= 714.65 m²
Now, probability of point being in shaded region = 714.65/3335.06
= 0.215
Hence, option (C) is correct.