Arcs & Central Angles

An arc is a portion of the circumference of a circle.

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

The measure of an arc can be calculated using the formula: (central angle/360) * circumference of the circle.

A minor arc measures less than 180 degrees, while a major arc measures more than 180 degrees.

The measure of a semicircle is 180 degrees.

The measure of a minor arc is equal to the measure of its corresponding central angle.

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

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

The measure of arc AB is 142 degrees.

The measure of ∠PTQ is 70 degrees, as it is half the measure of the intercepted arc.