Answer:
Step-by-step explanation:
The formula for determining the area of a square is expressed as
Area = Length²
Length of square 4
Area of square = 4² = 16
Since the circle is inscribed in the square, its diameter = 4
Radius = diameter/2 = 4/2 = 2
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Area of circle = 3.14 × 2² = 12.56
Area inside the square but outside the circle is
16 - 12.56 = 3.44
Probability is expressed as
Number of favourable outcome/number of total outcome
Therefore, probability that the point is in the square but not in the circle is
3.44/16 = 0.215
Converting to percentage, it becomes
0.215 × 100 = 21.5%
