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20120111 Ch 11.5.notebook 1 January 11, 2012 By the end of this lesson, you should be able to: use the area and area of a sector formulas to find missing measurements in a circle Warm up: 1/11 A. I want to put a ring of sprinkles around the outside of each cupcake. The diameter of one cupcake is 3 inches. How long would each ring of sprinkles be? B. You want to find the arc length of this red portion of the board. What information do you need to calculate the length? (string is not available)

Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

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Page 1: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

1

January 11, 2012

By the end of this lesson, you should be able to:

• use the area and area of a sector formulas to find missing measurements in a circle

Warm up: 1/11A. I want to put a ring of sprinkles around the outside of each cupcake. The diameter of one cupcake is 3 inches. How long would each ring of sprinkles be? 

B. You want to find the arc length of this red portion of the board. What information do you need to calculate the length? (string is not available)

Page 2: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

2

January 11, 2012

Page 3: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

3

January 11, 2012

Page 4: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

4

January 11, 2012

Page 5: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

5

January 11, 2012

Sector of a circle

part whole

Page 6: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

6

January 11, 2012

Page 7: Warm up: 1/11 · THEOREM 11.8 Area of a Sector The ratio of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc

2012­01­11 Ch 11.5.notebook

7

January 11, 2012