Exploring Arcs and Arc Lengths

What is the length of the rotating arm of the sprinkler?

• 10 meters

• 40 meters

• 20 meters

• 30 meters

What angle does the sprinkler cover from point B to C?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What is the term used to describe the smaller arc between two points on a circle?

• Minor arc

• Segment

• Major arc

• Sector

If an arc is more than 180 degrees, what is it called?

• Segment

• Sector

• Major arc

• Minor arc

How do you denote a major arc in notation?

• Using four points

• Using two points

• Using a single point

• Using three points

How is the measure of an arc determined?

• By the diameter of the circle

• By the radius of the circle

• By the length of the arc

• By the angle at the center

What is the formula for the circumference of a circle?

• Pi * Diameter

• 2 * Pi * Radius

• 2 * Radius * Pi

• Radius * Radius * Pi

What is the relationship between the arc's central angle and its measure?

• Square of the angle

• Directly proportional

• No relationship

• Inversely proportional

What proportion of the circle does a 60 degree arc represent?

• 1/6 of the circle

• 1/4 of the circle

• 1/2 of the circle

• 1/3 of the circle

What is the arc length if the circle's radius is 10 meters and the arc is 60 degrees?

• 10.5 meters

• 5.5 meters

• 15.5 meters

• 20.5 meters