What is the arc length of a sector and how do you find it

The video tutorial explains how to find the arc length of a sector using radians. It begins by defining a sector and radians, then describes how to measure angles in radians. The tutorial demonstrates how to calculate arc length by breaking down angles into fractions of π and using the formula S = radius × theta. The video emphasizes understanding the relationship between radians, angles, and arc length, providing a clear method to solve for missing terms using the formula.

What is a radian in terms of a circle's radius?

• The distance of the circumference divided by the radius

• The distance of the radius wrapped around the circle

• The distance of the radius squared

• The distance of the diameter wrapped around the circle

If an angle is 3π/4 radians, what fraction of the circle does it represent?

• 1/2

• 3/4

• 1/4

• 2/3

How do you calculate the arc length of a sector?

• Multiply the diameter by the angle in degrees

• Add the radius and the angle in radians

• Multiply the radius by the angle in radians

• Divide the circumference by the angle in radians

What is the arc length if the radius is 1 and the angle is π radians?

• π

• 3/4π

• 2π

• 1/2π

Which formula is used to find the arc length of a sector?

• S = radius + Theta

• S = radius × Theta

• S = circumference / Theta

• S = diameter × Theta