Arc Length, Sector Area, Segment Area

How does the process for finding the arc length differ from the process for finding the sector area?

• The arc length is a degree while the sector area is labeled in square units.

• The arc length uses π while the sector area does not always use π.

• The arc length and sector area are always equal.

• The arc length requires using the circumference while sector area requires the circle area formula.

Is the formula for

• arc length

• area of a sector

• area of a segment

• arc measure

The distance along an arc in linear units.

• area of a sector

• arc length

• arc measure

• segment of a circle

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 9.2 units

• 8.8 units

• 8.4 units

• 8.1 units

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

Find the area of each sector.

• 6.4 m²

• 7.9 m²

• 9.8 m²

• 11.8 m²

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 6in

• 3in

• 6.8in

• 2.5in

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²

• 155.37 mm²

• 148.13 mm²

• 142.74 mm²

What is this the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

• 25.2 in²

• 28.5 in²

• 31.4 in²

• 38.2 in²