Question

Find the equation of a circle with a center point of P and a radius of 8 units. Points given P(2,3) and Q(-6,7)

 

Answer 1

Write the equation of circle.

(x-h)²+(y-k)²=r²

Here, (h, k) is the center and r is the radius.

Substitute (2 , 3) for (h, k) and 8 units for r.

(x-2)²+(y-3)²=8²

(x²-4x+4)+(y²-6y+36)=0

x²+y²-4x-6y+40=0