9.1 - Central Angles

Front

What is a major arc in a circle?

Back

A major arc is an arc that measures more than 180 degrees and is the longer arc connecting two points on the circle.

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that measures less than 180 degrees and is the shorter arc connecting two points on the circle.

Tags

CCSS.HSG.C.B.5

Front

What is a semi-circle?

Back

A semi-circle is an arc that measures exactly 180 degrees, representing half of a circle.

Front

What is a sector of a circle?

Back

A sector is a region enclosed by two radii and the arc between them, resembling a 'slice' of the circle.

Front

What is the relationship between a central angle and the arcs it intercepts?

Back

A central angle is formed by two radii and intercepts an arc whose measure is equal to the measure of the central angle.

Front

How do you find the measure of a missing arc if the total circle is 360 degrees?

Back

Subtract the measures of the known arcs from 360 degrees to find the measure of the missing arc.

Tags

CCSS.HSG.C.B.5

Front

What is the diameter of a circle?

Back

The diameter is a line segment that passes through the center of the circle and connects two points on the circle, measuring twice the radius.

Tags

CCSS.HSG.C.A.2

Front

How do you identify the intercepted arc by a given angle?

Back

The intercepted arc is the arc that lies in the interior of the angle and has endpoints on the angle's sides.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the measure of an arc in degrees?

Back

The measure of an arc in degrees can be found using the formula: Arc Measure = (Central Angle Measure) degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the difference between a major arc and a minor arc?

Back

A major arc is longer than 180 degrees, while a minor arc is shorter than 180 degrees.

Tags

CCSS.HSG.C.B.5