Equations of circles Use the results of Exercise to describe and graph the following circles.
r2 + 2r(cos θ − 3 sin θ) = 4
In this problem;
We have to describe and graph of the circle
We know that the polar equation represents a circle of radius ‘R’ centered at ( a, b).
By , using the above result represents a circle.
So , here a = -1, b = 3 , and = 4
+ 4 = 14
represents a circle of radius ‘’ centered at ( -1, 3).
In another way ; Consider ,
We know that ,the relation between cartesian (x, y) and polar coordinates ( r , is ;
x = r cos(, y = r sin(
Therefore , .
By using this results , we get ;
+2x -6y = 4
represents a circle with center (-1 ,3) , and radius ‘’.
Note ; represents a circle with center ( a, b) , and radius ‘r’.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Equations of circles Use the results of Exercise to describe and graph the following circles.r2 + 2r(cos ? ? 3 sin ?) = 4” is broken down into a number of easy to follow steps, and 24 words. This full solution covers the following key subjects: Circles, exercise, describe, equations, cos. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 72E from chapter: 10.2 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 72E from 10.2 chapter was answered, more than 255 students have viewed the full step-by-step answer.