Length of Arcs, Area of Sectors

What is the area of the pink shaded segment?

• 10.6 m²

• 13.8 m²

• 30.7 m²

• 41.3 m²

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.

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

• 16.2 cm

• 64.8 cm

• 16.20 cm

• 64.79 cm

Calculate the area of the sector. Round to 1 decimal places.

• 77.0 cm²

• 14.66 cm²

• 76.97 cm²

• 14.7 cm²

Calculate the area of the sector. Round to 1 decimal places.

• 76.0 mm²

• 75.96 mm²

• 607.65 mm²

• 607.7 mm²

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

• 346.36 mm

• 33.0 mm

• 32.99 mm

• 346.4 mm

The length of the arc is 16.2 cm. Calculate the size of the angle, x^∘.

• 116^∘

• 2^∘

• 29^∘

• 9^∘

Calculate the perimeter of the shape. Round to 2 decimal places.

• 53.38 m

• 30.69 m

• 45.38 m

• 22.69 m