Prove the formula A = (θ*r^2)/ 2 for the area of a sector of a circle with a radius r and central angle θ. * Assume 0 < θ < pi/2 and place the center of the circle at the origin so it has the equation x^2 + y^2 = r^2.  * A is the sum of the area of the triangle POQ and the area of the region QPR in the figure.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 21E: Find the values of x and y. 3x-2yi=2+x+yi
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Prove the formula A = (θ*r^2)/ 2 for the area of a sector of a circle with a radius r and central angle θ.

* Assume 0 < θ < pi/2 and place the center of the circle at the origin so it has the equation x^2 + y^2 = r^2. 

* A is the sum of the area of the triangle POQ and the area of the region QPR in the figure.  

r
Q R x
Transcribed Image Text:r Q R x
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