A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 14CT: Assume that a die used for gaming is in the shape of a regular octahedron. The faces are numbered...
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  1. A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?

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