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Bellwork

No Clickers. Bellwork. What is the arc length of an arc that travels through 50 o of a circle with radius 15 units? Three consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers?. 14. Bellwork.

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Bellwork

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  1. No Clickers Bellwork What is the arc length of an arc that travels through 50o of a circle with radius 15 units? Three consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers? 14

  2. Bellwork What is the arc length of an arc that travels through 50o of a circle with radius 15 units? 14

  3. Bellwork Three consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers? 14

  4. Areas of Circles and Sectors Section 11.5

  5. The Concept • Yesterday we talked about arc length, or the measure of a portion of a circle • Today we’re going to talk about how we find the area of a portion of a circle.

  6. We’ve already seen the area of a circle, which is given by the formula Theorem 11.9 A=πr2 Area of a Circle r Don’t forget our discussion on when to use π

  7. A sector is a piece of a circle that has a distinct area that can be determined in a similar way to that of arc length Sectors θ r This is the amount of the circle that the arc travels through This is the area of circle

  8. What is the area of the sector shown below Sectors 60 15

  9. What is the area of the sector shown below On your Own 110 22

  10. What is the area of the sector shown below On your own 200 10

  11. What is the area of the sector shown below On your own 11.5 95o 112o

  12. Given the arc lengths, what is the measure of the Area of the sector (shown in green) below? On your own 15 31.42 u 18.33 u

  13. Pizza from Domino’s comes as a 16” cut into 8 slices. A Extra Large pizza from D’Bronx comes as a 30” pizza cut into 12 slices. What is the ratio of the areas of a Domino’s slice to a D’Bronx slice? Practical Example

  14. How to figure the area of a sector Most Important Points

  15. Homework 11.5 Exercises 1, 2-32 even, 37, 38

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