Sector Area and Arc Length

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

• What's Pacman?

• 39.1 mm²

• 9.77 mm²

Suppose a sector has an area of 48 cm². If the radius of the circle is 4 cm, then what is the central angle?

• 48°

• 16°

• 343.775°

• 376.991°

Suppose a sector has an area of 25 ft². If the central angle is 75°, then what is the radius of the circle?

• 3 ft

• 38.197 ft

• 6.180 ft

• 19.099 ft

Suppose an arc has a length of 100 miles and an arc measure of 240°. What would be the radius of the circle?

• 47.746 miles

• 150 miles

• 23.873 miles

• 10 miles

Suppose a circle has a radius of 6 m and an arc on that circle has a length of 28 m. What is the measure of the central angle that intercepts that arc?

• 357.149°

• 95001.762°

• 267.380°

• 376.991°

Sector area is proportional to the:

• Arc Length

• Total Area of a Circle

• Circumference of a Circle

• π

Arc Length is proportional to the:

• Sector Area

• Total Area of a Circle

• Circumference of a Circle

• π

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

What is the area of the shaded SECTOR? Round to the nearest hundredth.

• 9.42 u²

• 113.10 u²

• 284.3 u²

• 452.39 u²

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D