Arcs, Sectors, and Segments

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 4 radian

• 2π radian

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

• 7.78 inches

• 8.21 inches

• 157.5 inches

• 7 inches

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Find the arc length

• 7 cm

• 28π cm

• 7π cm

• 28 cm

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

The diameter of a circle is 10 centimeters. A central angle of the circle intercepts an arc of 20 centimeters. What is the radian measure of the angle?

• 2

• 4

• 1

• 5

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle
• arc length of a circle
• sector of a circle
• segment of a circle