Arcs and Angles Circles

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle, defined by two endpoints on the circle.

Tags

CCSS.HSG.C.B.5

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is a diameter?

Back

A diameter is a chord that passes through the center of the circle, dividing it into two equal halves.

Front

What is a secant?

Back

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

Front

What is a tangent?

Back

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

Front

How do you calculate the measure of an arc?

Back

The measure of an arc can be calculated using the central angle that subtends the arc, measured in degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the central angle and the arc length?

Back

The arc length is proportional to the central angle; as the angle increases, the arc length increases.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius of the circle.

Tags

CCSS.7.G.B.4

Front

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

Back

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

Tags

CCSS.HSG.C.A.2