Arc Length

Arc Length and Sector Area

​Students will be able to distinguish between and calculate arc length and area of a sector by activating prior knowledge of circles.

Multiple Choice

How much cement would be needed to cover this circular parking lot?

• 1385.44 square feet

• 2142.12 square feet

• 5541.77 square feet

• 1289.12 square feet

Multiple Choice

What is the area of this circle?

• 1256.64 sq. in.

• 31.41 sq. in.

• 314.16 sq. in.

• 123.12 sq. in.

Multiple Choice

What is the area of this circle?

• 1256.64 sq. in.

• 31.41 sq. in.

• 314.16 sq. in.

• 123.12 sq. in.

Multiple Choice

What is the area of this circle?

• 6082.12 sq. ft.

• 1520.53 sq. ft.

• 1893.14 sq. ft.

• 1292.92 sq. ft.

Multiple Choice

How much orange paint is needed to paint the entire circle?

• 50.27 sq. cm.

• 78.23 sq. cm.

• 98.12 sq. cm.

• 201.06 sq. cm.

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Multiple Choice

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

Multiple Choice

Find the measure of arc GKJ

• 105

• 50

• 55

• 180

​Arc Length is the CRUST

Area of a Sector is ALL THE CHEESE AND OTHER INGREDIENTS

Know the difference so you don't mix up the formulas!

​Let's Talk About Pizza

ARC LENGTH

Multiple Choice

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

Multiple Choice

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.

Multiple Choice

What is the area of the shaded region? Round to the nearest hundredth. (Hint: Area of a triangle is 1/2*b*h)

• 78.53

• 314.16

• 28.54

• 58.54

Multiple Choice

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

Multiple Choice

Calculate the area of the sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Multiple Choice

Calculate the area of the sector.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Multiple Choice

Calculate the length of the bold arc.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm