Concept explainers
To calculate:
The probability of the point chosen at the random lies in shaded region
Answer to Problem 25PPS
The probability of the point chosen at the random lies in shaded region is
Explanation of Solution
Given information:
Calculation:
The given figure consists of the shaded
The probability that the point chosen at the random leis in shaded region is same to the area of shaded region divided by the area of given entire figure.
The area of largest un-shaded triangle is:
Area of triangle:
Put the value in equation (1):
Area of largest un-shaded triangle
The area of largest shaded triangle is
The area of smallest un-shaded triangle is:
Put the value in equation (1):
Area of smallest un-shaded triangle
The area of smallest un-shaded triangle is
The area of shaded circle is:
The area of circle is
The area of circle is
The probability that the point chosen at the random lies in shaded region dividing that area of shaded region by the area of the given figure:
The probability of the point chosen at the random lies in shaded region is
Chapter 13 Solutions
Geometry, Student Edition
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