Using an inscribed angle to determine the measure of an arc on a circle

The video tutorial explains how to find the measure of arc MP in a circle. It begins by identifying PN as a diameter, creating a semicircle with a measure of 180 degrees. The teacher then explains how to calculate the measure of an arc when the angle is on the circle, which is double the angle's measure. Using this information, the teacher sets up an equation to solve for arc MP, resulting in a measure of 118 degrees. The tutorial emphasizes understanding the relationship between angles and arcs in a circle.

What is the measure of arc PN if PN is a diameter of the circle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

If an angle on the circle is 31 degrees, what is the measure of the corresponding arc?

• 31 degrees

• 62 degrees

• 93 degrees

• 124 degrees

How do you calculate the measure of an arc when given an angle on the circle?

• Multiply the angle by 3

• Add 90 degrees to the angle

• Multiply the angle by 2

• Divide the angle by 2

What is the total sum of all arc measures in a circle?

• 360 degrees

• 180 degrees

• 270 degrees

• 450 degrees

What is the measure of arc MP if the sum of arcs is 360 degrees and the known arcs are 180 and 62 degrees?

• 118 degrees

• 120 degrees

• 124 degrees

• 122 degrees