Find the probability that a randomly selected point within the circle falls in the red shaded area.

enter a decimal rounded to the nearest tenth.

Step-by-step 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

55% are girls and 45% are boys : ) hope this

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