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Section Name: Arc Length & Area of Sector

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Presentation on theme: "Section Name: Arc Length & Area of Sector"— Presentation transcript:

1 Section Name: Arc Length & Area of Sector
Warm-up What is the formula for the area of a circle? What is the formula for the circumference of a circle? How many degrees are in a circle? Section Name: Arc Length & Area of Sector

2 The area of the entire circle was: How can we find the area of the shaded sector? The circumference of the entire circle was: How can we find the arc length of the shaded section?

3 Find the area of the sector & the arc length of the shaded region.

4 Find the area of the sector & the arc length of the non-shaded region.

5 Find the area of sector AOB.
115° 20° 50° A B C D E O Radius: 8

6 Find the arc length of 𝐵𝐶𝐷 .
B 20° Radius: 8 115° O C 50° E D

7 Exit Ticket: Find the arc length of 𝐵𝐴𝐸 .
B 20° Radius: 7 115° O C 50° E D

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9 Warm-Up What fraction would you use if finding arc length or area of the following: AFB= ABC= AED= Section Name: Arc Length & Area of Sector Application

10 An airplane emits a radar beam that can detect an object up to 10 miles away and covers an angle of 150°. What is the area of the region covered by the radar beam?

11 A clock has a pendulum 22 cm long
A clock has a pendulum 22 cm long. If it swings through an angle of 32°, what is the measure of the arc not traveled by the pendulums swing?

12 You have a quiz NEXT class on arc length and area of sector!
Ask any questions you have today!

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14 Section Name: QUIZ & PROJECT TODAY!!!
Warm-Up How do you know when to use the given angle measure versus when to subtract from 360°? How do you know when to use area and when to use circumference? Section Name: QUIZ & PROJECT TODAY!!!

15 Read directions carefully!
PROJECT Read directions carefully! I will be hanging some of these up so feel free to add extra drawings/decorations to your project.


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