Equations of circles Use the results of Exercise to describe and graph the following circles.r2 ? 2r(2 cos ? + 3 sin ?) = 3

Solution 71EStep 1:In this problem;We have to describe and graph of the circleWe know that the polar equation represents a circle of radius ‘R’ centered at ( a, b).By , using above result represents a circle.So , here a = 2, b = 3 , and = 3 = 3 = 3 = 3 + 3 = 16 = 4.Therefore , represents a circle of radius ‘4’ centered at ( 2, 3).Step 2: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 ; - 4x -6y =3 -2(2x) + = 3+ represents a circle with center (2 ,3) , and radius ‘4’.Note ; represents a circle with center ( a, b) , and radius ‘r’.