Exploring the Basics of Circles

What is the definition of a circle?

• A shape with four equal sides

• A closed curve consisting of points at a fixed distance from a point

• A set of points equidistant from a center point

• A polygon with infinite sides

What does the radius of a circle represent?

• The longest chord of the circle

• The total length around the circle

• The line through the center dividing the circle in half

• The distance from the center to any point on the circle

What is a chord in a circle?

• A segment with endpoints on the circle not passing through the center

• A line that touches the circle at exactly one point

• A segment from the center to the circle's edge

• A line that cuts the circle into two equal halves

What defines a tangent to a circle?

• A line intersecting the circle at two points

• A line intersecting the circle at no points

• A line intersecting the circle at exactly one point

• A line running parallel to the circle

What is a central angle?

• An angle subtended by a diameter of the circle

• An angle formed outside the circle

• An angle with its vertex on the circle

• An angle with its vertex at the center of the circle

How is a minor arc defined?

• An arc that covers half the circle

• An arc less than 180 degrees

• An arc exactly 180 degrees

• An arc greater than 180 degrees

What is a semicircle?

• A full circle

• An arc measuring exactly 180 degrees

• An arc measuring less than 180 degrees

• An arc measuring more than 180 degrees

What is a common internal tangent?

• A tangent that touches two circles from the outside

• A tangent that touches two circles and crosses the line connecting their centers

• A tangent that only touches one circle

• A tangent that does not touch any circle

What are concentric circles?

• Circles that share the same center

• Circles that do not touch each other

• Circles that intersect at two points

• Circles that share the same radius

What is the point of tangency?

• The point where a tangent touches the circle

• The center of the circle

• The point opposite the center on a diameter

• Any point on the circle