Arc Length, Sector Area, Linear and Angular Speed

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

What is the area of the shaded sector?

• 40π/9

• 400π/9

• 80π/9

• 1600π/9

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to thenearest tenth of a square unit.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

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

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

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

• 26

• 452.39

• 113.10

• 40715.04

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

Categorize something that is measured in radians per second

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

A car tire has a diameter of 14 inches and is spinning at a of 10 revolutions per second. What is the linear speed in inches per second?

• 280π in / s

• 140π in / s

• 280 rad / s

• 300 in / s