Circle angles and arcs intro

Front

What is the definition of a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the measure of a full circle in degrees?

Back

360 degrees.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is a minor arc?

Back

A minor arc is an arc that measures less than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

What is a major arc?

Back

A major arc is an arc that measures more than 180 degrees.

Front

What is the relationship between the central angle and the arc it intercepts?

Back

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

Tags

CCSS.HSG.C.B.5

Front

How do you find the length of an arc?

Back

The length of an arc can be found 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 formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: C = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4