Equations of circles Use the results of Exercise to describe and graph the following circles.
r2 − 2r(−cos θ + 2 sin θ) = 4
Solution 73E
Step 1:
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).
Consider ,
By , using the above result represents a circle.
So , here a = -1, b = 2 , and = 4
= 4
= 4
= 4
+ 4 = 9
= 3.
Therefore , represents a circle of radius ‘
’ centered at ( -1, 2).