2.centre (-2,3) and radius 4

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Solution

The given center of circle is ( −2,3 ) and the radius is 4.

The formula for the equation of circle is given by,

( x−h ) 2 + ( y−k ) 2 = r 2 (1)

Where h and k denotes the center of the circle and r denotes the radius of the circle.

From the question, h=−2,k=3 and r=4

Substitute the values of h, k and r in equation (1), to find the equation of circle.

( x+2 ) 2 + (y−3) 2 =16 x 2 +4+4x+ y 2 +9−6y=16 x 2 +4x+ y 2 −6y+13−16=0 x 2 +4x+ y 2 −6y−3=0

Thus the equation of the circle with center ( −2,3 ) and radius 4 is. x 2 +4x+ y 2 −6y−3=0 .

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