Arc Length & Sector Area

Find the exact arc length.

• $\frac{7}{4}\pi$

• $\frac{7}{2}\pi$

• $\frac{1}{8}\pi$

• $45\pi$
  

Tags

CCSS.HSG.C.B.5

Find the exact length of the bold arc.

• $2850\pi\ ft$

• $\frac{95}{6}\pi\ ft$

• $\frac{1805}{12}\pi\ ft$

• $\frac{95}{12}\pi\ ft$

Tags

CCSS.HSG.C.B.5

Find the exact area of the sector.

• $\frac{50}{3}\pi\ in^2$

• $600\pi\ in^2$

• $\frac{5}{3}\pi\ in^2$
  

• $\frac{10}{3}\pi\ in^2$
  

Tags

CCSS.HSG.C.B.5

Find the exact sector area.

• $450\pi\ m^2$
  

• $\frac{5}{2}\pi\ m^2$
  

• $\frac{5}{4}\pi\ m^2$

• $\frac{15}{4}\pi\ m^2$

Tags

CCSS.HSG.C.B.5

FIND THE ARC LENGTH OF THE BOLDED ARC ROUNDED TO THE NEAREST TENTH.

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5

FIND THE ARC LENGTH OF THE BOLDED ARC ROUNDED TO THE NEAREST TENTH.

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5

If the arc length is 10 inches and the central angles is 45°, what is the exact radius of the circle?

• $\frac{40}{\pi}\ in$

• $\frac{80}{\pi}\ in$
  

• $\frac{10}{\pi}\ in$
  

• $\frac{20}{\pi}\ in$
  

Tags

CCSS.HSG.C.B.5

Find the central angle if the arc length is $30\pi\ cm$ and the radius is 24 cm. 

•  $100\degree$  

•  $150\degree$  
  

•  $200\degree$  

•  $225\degree$  
  

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Tags

CCSS.HSG.C.B.5

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

Tags

CCSS.HSG.C.B.5