Circles, chords, and arcs

What is an inscribed angle?

• An angle formed by two chords in a circle which have a common endpoint.

• An angle formed outside a circle by two tangents.

• An angle whose vertex is at the center of the circle.

• An angle formed by a secant and a tangent to a circle.

What is the definition of a semicircle?

• A semicircle is a quarter of a circle, formed by a radius and the arc connecting its endpoints.

• A semicircle is half of a circle, formed by a diameter and the arc connecting its endpoints.

• A semicircle is a full circle divided into two equal parts.

• A semicircle is a shape that has three sides and is not a circle.

Define a chord in a circle.

• A line segment whose endpoints lie outside the circle.

• A line segment whose endpoints lie on the circle.

• A line that touches the circle at one point.

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

What is the definition of a sector in a circle?

• A sector is a region of a circle bounded by two radii and the arc between them.

• A sector is the area of a circle divided by its diameter.

• A sector is a triangle formed by two chords of a circle.

• A sector is the distance around the edge of a circle.

What is a tangent to a circle?

• A line that touches the circle at exactly one point and is perpendicular to the radius at that point.

• A line that intersects the circle at two points.

• A line that is parallel to the radius of the circle.

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

How do you calculate the area of a sector?

• A = (θ/360) * πr²

• A = 2πr

• A = πr²

• A = (θ/180) * πr²

How is the measure of an arc related to its inscribed angle?

• The measure of an arc is equal to the measure of its corresponding inscribed angle.

• The measure of an arc is equal to three times the measure of its corresponding inscribed angle.

• The measure of an arc is equal to twice the measure of its corresponding inscribed angle.

• The measure of an arc is equal to half the measure of its corresponding inscribed angle.

What is the relationship between congruent chords and arcs?

• Congruent chords subtend congruent arcs in a circle.

• Congruent chords are equal in length but do not subtend arcs.

• Congruent arcs are always longer than congruent chords.

• Congruent chords are found only in triangles.

What is the measure of a central angle?

• The measure of a central angle is equal to the measure of the arc it intercepts.

• The measure of a central angle is always 90 degrees.

• The measure of a central angle is half the measure of the arc it intercepts.

• The measure of a central angle is equal to the sum of the angles in a triangle.

What is a secant line?

• A line that intersects a circle at two points.

• A line that is tangent to a circle at one point.

• A line that passes through the center of a circle.

• A line that does not intersect a circle.