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- Dorchester2 03 04 2025 Arc Length And Area Of Sectors
Dorchester2 - 03-04-2025-Arc Length and Area of Sectors
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Antoinette Norris Woodson
Used 2+ times
FREE Resource
14 Slides • 15 Questions
1
Take out your notes!
2
Open Ended
Can you move these matches and change the number to sixteen?
How many moves are needed?
Be prepared to explain your reasoning to the class.
3
4
Open Ended
Click on the image.
5
● I can define the parts of a circle
● I can define and measure in a circle
● I can find the measure of segments of a circle
● I can discover the properties of tangent lines
● I can find the measure of angles inside and outside of a circle
● I can find missing measures of angles and arcs using circle theorems.
● I can explain radian angle measures in terms of a circular radius and
arc length
Objectives
6
7
8
Draw
Line AB is tangent to circle O.
Segment AF is a diameter. The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc m EF = 25°.
Draw the given information on the circle.
Use the given information and circle theorems to find the measure of < 1.
9
Draw
Line AB is tangent to circle O.
Segment AF is a diameter.
The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc m EF = 25°.
Draw the given information on the circle.
Use the given information and circle theorems to find the measure of < 3.
10
Draw
Line AB is tangent to circle O.
Segment AF is a diameter.
The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc m EF = 25°.
Draw the given information on the circle.
Use the given information and circle theorems to find the measure of < 6.
11
Draw
Line AB is tangent to circle O.
Segment AF is a diameter.
The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc m EF = 25°.
Draw the given information on the circle.
Use the given information and circle theorems to find the measure of < 7.
12
Draw
Line AB is tangent to circle O.
Segment AF is a diameter.
The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc m EF = 25°.
Draw the given information on the circle.
Use the given information and circle theorems to find the measure of < 8.
13
Draw
Find the measure of x.
Show your process.
14
15
Draw
Find x.
Show your process. Round to the nearest tenth.
16
Draw
Find x.
Show your process.
17
18
Minor Arc
Major Arc
Semicircle
19
20
https://study.com/academy/lesson/measure-of-an-arc.html
21
Arc length is literally the length of the arc of a portion of a circle.
This arc is a part of the total circumference of a circle.
This length is measured as a linear distance.
https://study.com/academy/lesson/arc-length-definition-equation.html
22
Multiple Choice
Which proportion set up correctly for the figure?
8πarc length=360°225°
4πarc length=360°225°
16πarc length=360°225°
8πarc length=225°360°
23
Multiple Choice
Which proportion is set up correctly for the figure?
8πarc length=360°180°
4πarc length=360°180°
16πarc length=360°180°
360°arc length=180°4π
24
Multiple Choice
25
Multiple Choice
If an exact arc length is
74π , approximate the length to the nearest hundedth.
12.56
1.80
1.74
1.71
27
28
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.
29
Draw
Use what you know about circles vocabulary and theorems to solve for the missing angle.
Line AB is tangent to circle O.
Segment AF is a diameter.
The measure of arc AG = 100°.
The measure of arc CE = 30°.
The measure of arc EF = 25°.
Find the measure of angle 1.
Take out your notes!
Show answer
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