2. Consider a circle centered at the origin with radius r. Use trigonometric functions andintegration to prove that the area of the circle is A = Ar².

Explanation of the answer is as follows

Answered: 2. Consider a circle centered at the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 32E

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2. Consider a circle centered at the origin with radius r. Use trigonometric functions and integration to prove that the area of the circle is A = Tr².