Question

Circle O has a center at (-2, -2) and a diameter of 10 units. What point lies on circle O?

Answer 1

The point r(-6,-5)  lies on  the circle.

Explanation

Given that the center of the circle=(-2,-2)

diameter=10 units

we have to determine which point among the given points lies on the circle.

radius=diameter/2=10/2=5 units

let (x,y) be a point on the circle

The distance between the center and (x,y) is equal to the radius of the circle

The distance between them=$\sqrt{(x-(-2))^2+y-(-2))^2}=5\\\\ \sqrt{(x+2)^2+(y+2)^2} =5$

squaring both sides $(x+2)^2+(y+2)^2=25$

The option (-6,-5) satisfies the equation

therefore the point that lies on the circle is (-6,-5)