To calculate: The area inside the pentagon and outside the circle if a circle is inscribed in a regular pentagon.
The area inside the pentagon and outside the circle is
Given information: A circle is inscribed in a regular pentagon. The sides of regular pentagon are
Formula used: The formula to find the area of a circle is
The formula to find the area of regular pentagon is given by
Calculation:
Let the radius of the circle be
Figure (1)
Calculate the radius
Substitute
Calculate the area of regular pentagon.
To find the area inside the pentagon and outside the circle, subtract the area of circle from the area of the pentagon.
Thus, the area inside the pentagon and outside the circle is
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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