Question

A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.

Answer 1

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

What is the area of a circle?

The area of a circle of radius r is given by:

$A = \pi r^2$

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

$A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2$

Hence the probability is given by:

p = 0.7854/16 = 0.049 = 4.9%

More can be learned about probabilities at brainly.com/question/14398287

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