Sector Area & Arc Length

Find the arc length.  Leave your answer in terms of π.

• 7/4π
• 7/2π
• 1/8π
• 45π

Tags

CCSS.HSG.C.B.5

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 in terms of  $\Pi$  .   $7.85=2.5\Pi$  

•  $0.3\Pi\ u^2$  

•  $5\Pi\ u^2$  

•  $6.3\Pi\ u^2$  

•  $16\Pi\ u^2$  

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to in terms of $\Pi$  .

•  $2.9\Pi\ in^2$  

•  $\frac{10}{3}\Pi\ in^2$  

•  $10\Pi\ in^2$  

•  $12\Pi\ in^2$  

Tags

CCSS.HSG.C.B.5

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• $\frac{95}{3}\Pi\ ft^2$

• $\frac{1805}{12}\Pi\ ft^2$

• $\frac{95}{6}\Pi\ ft^2$

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• $\frac{50}{3}\Pi\ in^2$

• 18,864 in²

• $\frac{10}{3}\Pi\ in^2$

• $21\Pi\ in^2$

Tags

CCSS.HSG.C.B.5

If the length of the 45° region of this circle is  $10\Pi$   inches, what is the radius of the circle?

• 40 in.

•  $4\sqrt{5}$  in.

• 10 in.

• 20 in.

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

What is the area of the shaded sector?

• $108\Pi\ in^2$

• $36\Pi\ in^2$

• $18\Pi\ in^2$

• None of the above

Tags

CCSS.HSG.C.B.5

What is the area of the shaded region?

• $25\Pi\ -100\ u^2$

• $5\Pi-50\ u^2$

• $25\Pi-50\ u^2$

• $5\Pi-100$

Tags

CCSS.HSG.C.B.5

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

• $405\Pi\ in^2$

• $\frac{27}{4}\Pi\ in^2$

• $\frac{9}{8}\Pi\ in^2$

Tags

CCSS.HSG.C.B.5