Find the exact areas of the shaded regions in Exercises 27 to 31.

Two ≅ tangent circles, inscribed in a rectangle.

Q: Expert Answer

To determine To find: The exact areas of the shaded regions. Explanation Calculation: Consider the two tangent circles are shown below: The above two tangent circles inscribed in a rectangle are congruent. That is radius and areas of the two circles are same. Area of the first circle A = π r 2 Radius ( r ) = 6 A = π ( 6 ) 2 = 36 π The total area of the two circles = Area of the first circle + Area of the second circle = 36 π + 36 π = 72 π To find the area of the rectangle: The area A of a rectangle whose base has length b and whose altitude has length h is given by

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Elementary Geometry for College St...

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Daniel C. Alexander + 1 other

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Elementary Geometry for College St...

6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

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To determine

To find:

The exact areas of the shaded regions.

Explanation

Calculation:

Consider the two tangent circles are shown below:

The above two tangent circles inscribed in a rectangle are congruent.

That is radius and areas of the two circles are same.

Area of the first circle A=πr2

Radius (r) = 6

A=π(6)2=36π

The total area of the two circles = Area of the first circle + Area of the second circle

=36π+36π=72π

To find the area of the rectangle:

The area A of a rectangle whose base has length b and whose altitude has length h is given by

MathGeometryElementary Geometry for College Students6th Edition

Elementary Geometry for College St...

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Elementary Geometry for College St...

Find the exact areas of the shaded regions in Exercises 27 to 31. Two ≅ tangent circles, inscribed in a rectangle.

Still sussing out bartleby?

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Math
Geometry Elementary Geometry for College Students 6th Edition

Find the exact areas of the shaded regions in Exercises 27 to 31.

Two ≅ tangent circles, inscribed in a rectangle.