Question

The center of a circle is at (6,-7) and the diameter of the circle is 22. Which of the following is the equation of the circle? (Part 1 and Part 2)

Answer 1

P1.H.x²+y²=34

centre[h,k]=(0,0)

point=[3,5]

now

radius=
`√((0-3)²+(0-5)²)=√(34)`

now

equation of a circle is;

(x-h)²+(y-k)²=
`√(34)²`

x²+y²=34

P:2I.(x-6)²+(y+7)²=121

centre[h,k]=(6,-7)

diameter=22

radius[r]=22/2=11

now

equation of a circle is;

(x-h)²+(y-k)²=r²

(x-6)²+(y+7)²=11²

(x-6)²+(y+7)²=121