Answer:
Explanation:
The diagram contains a Pentagon inscribed in a circle. The Pentagon is the red shaded area. The formula for the area of a circle is expressed as
Area = πr^2
Where
r is the radius of the circle
π is a constant whose value is 3.14
The radius of the circle is 4 cm
Area of the circle 3.14×4^2 = 50 cm^2
Area of the pentagon is expressed as
Area = (apotherm, a × perimeter, p)/2
The apotherm is 3.2 cm
The side length is given as 4.7cm. Since the number of sides is 5, the perimeter is 4.7 × 5 = 23.5cm
Area of the pentagon is (3.2×23.5)/2 = 75.2/2 = 37.6 cm^2
Probability that a randomly selected point within the circle falls in the red shaded area is
37.6/50 = 0.8