Finding the Center of a Circle

Why is guessing the center of a circle not a reliable method?

• Because the center is always outside the circle.

• Because circles do not have a center.

• Because there are infinite points inside a circle.

• Because the center is always at the origin.

What is required to find the center of a circle using analytic geometry?

• The diameter of the circle

• Two points on the circle

• Three points on the circle

• The radius of the circle

What geometric shape is formed when connecting the endpoints of a chord to the center of a circle?

• A scalene triangle

• An isosceles triangle

• An equilateral triangle

• A right triangle

What is the role of the perpendicular bisector in finding the center of a circle?

• It is parallel to the diameter.

• It passes through the center of the circle.

• It is tangent to the circle.

• It divides the circle into two equal parts.

Why should the two chords used in the geometric method not be parallel?

• Parallel chords are always equal in length.

• Parallel chords have the same perpendicular bisector.

• Parallel chords are not allowed in circles.

• Parallel chords do not intersect.