Arc Length

you during online school vs. during spring break

Happy Monday!

Central Angles, Circumference & Arc Length

Today's topic

Open Ended

What do you know about circumference, arc length, or central angle?

Central Angles

Central Angle

• Central angles are angles with a vertex at the center of the circle.

• Arcs are pieces of a circle's border. (crust of pizza/pie)

• The measure of a central angle is equal to the measure of its intercepted arc.

Multiple Choice

The sum of the measures of the central angles in a circle is

• 0
• 90
• 180
• 360

Let's try this one.

Find the measure of the arc RS.

Multiple Choice

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

Multiple Choice

What is the measure of arc AXB

• 50

• 100

• 180

• 260

Multiple Choice

Hi, my name's Trey. I have _____ tomorrow

• a baseball game

• a trashketball game

• a basketball game

• a bowling match

Multiple Choice

Hurricane Katrina? More like ______

• Hurricane Fajita

• Hurricane Quesadilla

• Hurricane Sopaipilla

• Hurricane Tortilla

Multiple Choice

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

Circumference

What is circumference?

Multiple Choice

What does "circumference" mean?

• Space a circle takes up

• Distance around a circle

• Line from one side of a circle to another

• Line from center of circle to side

Multiple Select

What is the formula for circumference?

• C = pi x r

• C = pi x 2r

• C = pi x D

• C = pi x 2D

Multiple Choice

What is the circumference of this circle?

• 3.14 cm

• 37.7 cm

• 24 cm

• 68.4 cm

Arc Length

The "crust" of one or more pizza slices

How to find the length of an arc

It is a fraction of the circumference. x is the degree measure of "one pizza slice"

Open Ended

If I buy a pizza from Pizza Hut that is 10 inches in diameter, what is the arc length for each pizza slice?

Multiple Choice

Find the length of the arc to 2dp

• 25.12cm

• 12.57cm

• 628.32cm

• 31.42cm

Multiple Choice

Find the length of arc MPN.

• $\frac{21}{4}\pi$ in.

• $\frac{21}{8}\pi$ in

• $\frac{35}{8}\pi$ in

• $\frac{35}{4}\pi\$ in

Multiple Choice

how do you spell the meme dog correctly

• doggo

• dadge

• doge

• dodge

Multiple Choice

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm