Question

At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent.

Answer 1

4.66%

Explanation:

The probability of hitting any small circle is the combined are of the three circles divided by the area of the rectangle.

p(circle) = (combined are of the the circles)/(area of rectangle)

area of circle = (pi)r^2

area of rectangle = length * width

p(circle) = [3 * (pi)r^2]/(length * width)

p(circle) = [3 * (3.14159)(3^2)]/(52 * 35)

p(circle) = [27(3.14159)]/(1820)

p(circle) = 0.0466 = 4.66%

Answer: 4.66%