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RECALL: What is the formula for the area of a circle? You eat an entire pizza (8 slices) with a radius of 8inches. How much pizza (area) did you eat? If.

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Presentation on theme: "RECALL: What is the formula for the area of a circle? You eat an entire pizza (8 slices) with a radius of 8inches. How much pizza (area) did you eat? If."— Presentation transcript:

1 RECALL: What is the formula for the area of a circle? You eat an entire pizza (8 slices) with a radius of 8inches. How much pizza (area) did you eat? If you only ate 4 slices, how much pizza did you eat? If you only ate 1 slice, how much pizza did you eat?

2 Arc Length and Area of a Sector

3 I will be able to… Calculate the area of a sector in a circle Determine the measure of an arc or the radius based on the area of the sector

4 In the first picture, a slice of pizza represents a sector of the pizza. What is a sector for the other pictures?

5

6 Find the area of sector XYZ to the nearest tenth. X Z Y A ≈ 142.5 m 2 135° 11m

7 If the area of sector is 34 m 2 and the radius is 6m, find the central angle to the nearest degree. m  D ≈ 108° E F O D

8 pg. 801 #19-20, 24, 28-29, 35

9 With your partner, answer the following questions on a half sheet of paper before you leave: #1: A windshield wiper blade is 18 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 122°? **Draw a picture of this situation** #2: A bicycle chain is shown at the left, which travels around the front and rear sprocket. The circumference of each sprocket is shown. What is the length of the entire chain?

10 pg. 701-704 10.) R 11.) SU 12.) No; it’s a chord 13.) 8.1cm 19.) 14.6 20.) 12.6 27.) 830.23m; 415.12m 29.) 12 π ft 31.) 10 π in pg. 710-713 13.) 225˚ 15.) 40˚ 17.) minor; 125˚ 19.) major; 305˚ 21.) semi; 180˚ 23.) major; 270˚ 27.) 60˚ 29.) 300˚ 31.) 180˚ 33.) 220˚ 35.) 120˚ 61.) 175 pg. 711 37.) 8.80cm 38.) 4.75mm 39.) 17.02in 40.) 19.01ft 46.) 150˚ 47.) 9.50ft pg. 801 19.) 40.2cm 2 20.) 167.1ft 2 24.) 28.) 5529.) 9.8ft35.) 10.7cm 2


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