Geometric Probability Worksheet Page 2

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3.
In the following diagram, right triangle ABC is inscribed in a circle. It is given
that AC = 26, BC = 24, AB=10 and AC is the diameter of the circle.
Find the probability that a dart thrown randomly will hit the triangle.
Give your answer as a fraction, decimal and percent.
Use the picture at the right for Questions 4 – 8.
4.
A rectangular field measures 27 feet by 15 feet. Find the area of the field.
5.
A small shed is on the field. Its dimensions are 8 feet by 10 feet. What is its area?
6.
What is the probability that a single drop of rain that lands in the field would hit
the shed? Give your answer as a fraction, decimal and percent.
7.
What is the probability that a single drop of rain that lands in the field would not
hit the shed? Give your answer as a fraction, decimal and percent.
8.
CHALLENGE: There is a large oak tree in one corner whose branches have a
diameter of 20 feet. What is the probability that a single drop of rain that lands in
the field would miss both the shed and the tree? (Assume the shed is not under
the tree.)

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