To calculate:Theshaded area if all 12 sides of the cross are congruent.
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Answer to Problem 42RP
The shadedarea is
Explanation of Solution
Given information:
All 12 sides of the cross are congruenteach having a length of 4.
Formula used:
Area of square:
s = side of square
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Area of a
r = radius of circle.
Calculation:
To find radius of circle we need to calculate
In right angled triangle ABC , we get
Shaded Area = Area of circle - Area of cross
Shaded Area
Shaded Area
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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