Areas and Arcs

Calculate the length of the arc. Round to 2 decimal places.

• 346.36 mm

• 33.0 mm

• 32.99 mm

• 346.4 mm

What region of a circle is defined as the region bounded by two radii and their intercepted arc.

• sector

• segment

• arc

• angle

What is defined as the product of the ratio of the measure of the arc divided by 360 and the circumference of the circle?

• arc measure

• sector area

• segment area

• arc length

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.

What is the measure of arc AD?

• 38

• 142

• 180

• 153

What is the arc measure FE?

• 54°

• 90°

• 27°

• 31.5°

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• 15.8π ft

• 150.4π ft

• 54,150 ft

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113

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.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures greater than 180 degrees. 

• It measures less than 180 degrees.