Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

Accepted Solution

Answer:Step-by-step explanation:No given points, but you can figure it out from the equation of the circle:Centered at the origin means that a = b = 0 in(x-a)^2+(y-b)^2=radius^2leaving the following:x^2+y^2=10^2or x^2+y^2=100then, from the given points, plug in the coordinates and check to see if it satisfies the equation.For example, we already know that (10,0) will be on the circle, since it is centered at the origin with radius 10. We can check by plugging into the equation: (10)^2+0^2=100100=100, so the point lies on the circle.Side note: To find which points are within the circle, the equation x^2+y^2<10^2 would have to be satisfied. In this case, (9,0) is one of infinitely many points which satisfies this equation, and therefore is inside the circle.