Exploring Circles: Unit 10 Notes Overview

What is the definition of a circle?

• A two-dimensional shape with varying distances from a center point.

• A three-dimensional shape with all points equidistant from the center.

• A polygon with infinite sides.

• A set of points in a plane all equidistant from a given point.

What is a chord in a circle?

• A line that touches the circle at exactly one point.

• A segment with endpoints on the circle that does not pass through the center.

• A segment that passes through the center of the circle.

• A line that intersects the circle in two places.

What defines a diameter of a circle?

• A line that intersects the circle at one point.

• Any segment from one point on the circle to another.

• A chord that passes through the center of the circle.

• A chord that does not pass through the center.

What is a tangent to a circle?

• A line that intersects the circle at two points.

• A segment with both endpoints on the circle.

• A segment that passes through the center of the circle.

• A line that intersects the circle at exactly one point.

What is a central angle?

• An angle with its vertex on the circle and sides as chords.

• An angle with its vertex outside the circle.

• An angle formed by two tangents to the circle.

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

How is a minor arc named?

• With three letters.

• With two letters and a symbol.

• With a single letter.

• With two letters.

What is the formula for the area of a circle?

• 2 * pi * diameter

• pi * radius squared

• 2 * pi * radius

• pi * diameter squared

How do you calculate the circumference of a circle?

• 2 * pi * radius

• Pi * radius squared

• 2 * radius / pi

• Pi * diameter

What is the relationship between the diameter and the radius of a circle?

• There is no specific relationship.

• The diameter is half the radius.

• The diameter is twice the radius.

• The radius is twice the diameter.

How is the arc length of a circle calculated?

• Arc length = (Angle / 360) * radius

• Arc length = (Angle / 360) * 2 * pi * radius

• Arc length = (Angle / 360) * pi * diameter

• Arc length = (Angle / 180) * pi * radius