Arc Length and Sector Area

Find the arc length.

• $\frac{7\pi}{4}$ cm

• $\frac{7\pi}{2}$ cm
  

• $\frac{\pi}{4}$ cm

• $\frac{49\pi}{2}$ cm

What is the green area called?

• sector

• segment

• arc

• section

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

What is the ϴ called?

• sector

• segment

• arc

• central angle

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.2

CCSS.HSG.C.A.2

What is the length L called?

• circumference

• tangent

• arc

• sector

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

Calculate the length of the bold arc.

• $\frac{95\pi}{6}$ ft

• $\frac{1805\pi}{6}$ ft

• $\frac{1805\pi}{12}$ ft

• $\frac{95\pi}{12}$ ft

Calculate the length of the bold arc.

• $56\pi$ cm

• $7\pi$ cm

• $14\pi$ cm

• 14 cm

Calculate the length of the bold arc.

• $\frac{39\pi}{2}$ ft

• $\frac{39\pi}{4}$ ft

• $\frac{507\pi}{4}$ ft

• $\frac{507\pi}{2}$ ft

Calculate the area of the sector.

• $\frac{5\pi}{3}$ sq. in.

• $10\pi$ sq. in.

• $\frac{10\pi}{3}$ sq. in.

• $20\pi$ sq. in.

Calculate the area of the sector.

• $\frac{5\pi}{2}$ sq. m.

• $\frac{5\pi}{4}$ sq. m.

• $\frac{15\pi}{2}$ sq. m.

• $\frac{15\pi}{4}$ sq. m.

Calculate the area of the sector.

• $\frac{50\pi}{3}$ sq. in.

• $\frac{100\pi}{3}$ sq. in.
  

• $\frac{5\pi}{3}$ sq. in.

• $\frac{10\pi}{3}$ sq. in.