Concept explainers
(a)
To calculate:The area of one of the n congruent triangles formed by drawing radii.
(a)
Answer to Problem 40E
The
Explanation of Solution
Given information:
Inscribe a regular n-sided
Formula used:
The isosceles triangles is made up of two right triangles having hypotenuse 1
Calculation:
Each of the isosceles triangles is made up of two right triangles having hypotenuse 1 and an acute angle measuring.
Conclusion:
The
(b)
To calculate: The limit of an area of the inscribed polygon.
(b)
Answer to Problem 40E
The area of polygon is
Explanation of Solution
Given information:
Inscribe a regular n-sided polygon inside a circle of radius 1
Formula used:
Calculation:
The area of polygon is n times the area of isosceles triangle.
Now n tends to infinity.
Conclusion:
The area of polygon is
(c)
To calculate:The circle of area.
(c)
Answer to Problem 40E
The area of the polygon is
Explanation of Solution
Given information:
The n congruent triangles formed by drawing radii to the vertices of the polygon.
Formula used:
Calculation:
In case of circle multiply each area by
Conclusion:
The area of the polygon is
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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Calculus and Its Applications (11th Edition)
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