Circles - Secants, Tangents and Angles

Front

What is a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.

Front

What is a tangent in relation to a circle?

Back

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

Front

What is the relationship between the angles formed by a tangent and a chord through the point of contact?

Back

The angle formed is equal to the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc is determined by the central angle that subtends it.

Front

What is the formula for the measure of an angle formed by two secants intersecting outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by two tangents drawn from a point outside the circle?

Back

The angle formed is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the relationship between the angles formed by a secant and a tangent that intersect at a point on the circle?

Back

The angle formed is equal to half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the measures of the angles formed by two intersecting chords inside a circle?

Back

The sum of the measures of the angles is equal to half the sum of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2