Segments of Circles Mixed Review

Front

What is a segment of a circle?

Back

A segment of a circle is the region enclosed by a chord and the arc that connects the endpoints of the chord.

Front

What is a tangent line to a circle?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point.

Front

How many points does a tangent line intersect a circle?

Back

A tangent line intersects a circle at exactly one point.

Front

What is the relationship between the radius and a tangent line at the point of tangency?

Back

The radius drawn to the point of tangency is perpendicular to the tangent line.

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is the difference between a secant and a tangent?

Back

A secant intersects the circle at two points, while a tangent intersects the circle at only one point.

Front

What can be concluded if two tangents are drawn from a point outside the circle?

Back

The lengths of the two tangents from the external point to the points of tangency are equal.

Front

What is the angle formed between a tangent and a chord through the point of contact?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the opposite arc.

Front

What is the formula for the area of a segment of a circle?

Back

The area of a segment of a circle can be calculated using the formula: Area = (r^2/2) * (θ - sin(θ)), where r is the radius and θ is the angle in radians.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.