Arc Length, Area of 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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the arc length

• 7 cm

• 28π cm

• 7π cm

• 28 cm

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSF.TF.A.1

In the diagram below, the circle shown has radius 10. Angle B intercepts an arc with a length of  $2\pi$ . What is the measure of angle B, in radians?

•  $10+2\pi$  

•  $20\pi$  

•  $\frac{\pi}{5}$  

•  $\frac{5}{\pi}$  

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

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

Tags

CCSS.HSG.C.B.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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5