Exploring Inscribed Angles in Circles

The video tutorial covers inscribed angles in circles, explaining how they differ from central angles. It introduces the concept that an inscribed angle is half the measure of the arc it intercepts. The tutorial provides several examples to illustrate this rule, including solving for unknown angles and arcs. It also addresses more complex problems involving algebraic expressions. The video concludes with a brief mention of the next topic, tangents.

Where is the vertex of an inscribed angle located?

• Outside the circle

• Inside the circle

• At the center of the circle

• On the circle

What is the relationship between an inscribed angle and its intercepted arc?

• There is no relationship

• The angle is half the arc

• The angle is equal to the arc

• The angle is twice the arc

If an arc measures 194 degrees, what is the measure of the inscribed angle?

• 50 degrees

• 97 degrees

• 388 degrees

• 194 degrees

What formula is used to find the measure of an inscribed angle?

• Angle = (Arc - Angle) / 2

• Angle = (Arc + Angle) / 2

• Angle = Arc * 2

• Angle = Arc / 2

How do you find the arc length when given the inscribed angle?

• Divide the angle by 2

• Multiply the angle by 2

• Subtract the angle from 360

• Add 180 to the angle

If the inscribed angle measures 40 degrees, what is the arc length?

• 20 degrees

• 40 degrees

• 80 degrees

• 160 degrees

How can you solve an equation involving an inscribed angle and an algebraic expression for the arc?

• By dividing the equation by 2

• By multiplying the equation by 2

• By adding 100 to the equation

• By subtracting the angle from the arc

What is the first step in solving a complex problem involving inscribed angles and arcs?

• Subtracting given arcs from 360 degrees

• Finding the measure of the inscribed angle

• Calculating the total degrees in the circle

• Determining the length of the arc

If two arcs are given as 62 and 140 degrees, what is the measure of the remaining arc?

• 202 degrees

• 360 degrees

• 158 degrees

• 102 degrees

If an inscribed angle opens up to an arc of 158 degrees, what is the angle's measure?

• 79 degrees

• 158 degrees

• 316 degrees

• 39.5 degrees