To determine the shaded region the given figure.
Answer to Problem 52SR
Explanation of Solution
Given:
Radius of the outer
Formula used:
Area of a circle
where
Area of an equilateral
Calculation:
As
In
So,
On cross-multiplying,
As
So,
Area of
Putting the value of a,
So, area of
Now,
On cross-multiplying,
Area of smaller circle,
Radius
Area =
Putting the value of
So, area of small circle
Now,
Area of outer circle,
Putting the value of R,
So, area of the outer circle
Hence, Area of the shaded region = Area of outer circle
Now, putting the values,
Conclusion:
Therefore, the area of the shaded region is
Chapter 12 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Elementary Statistics
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Finite Mathematics & Its Applications (12th Edition)
Calculus and Its Applications (11th Edition)
- 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