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Jan 04, 2016

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Splash Screen. Five-Minute Check (over Lesson 11–2) NGSSS Then/Now New Vocabulary Key Concept: Area of a Circle Example 1: Real-World Example: Area of a Circle Example 2: Use the Area of a Circle to Find a Missing Measure Key Concept: Area of a Sector - PowerPoint PPT Presentation
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Page 1: Splash Screen
Page 2: Splash Screen

Five-Minute Check (over Lesson 11–2)

NGSSS

Then/Now

New Vocabulary

Key Concept: Area of a Circle

Example 1: Real-World Example: Area of a Circle

Example 2: Use the Area of a Circle to Find a Missing Measure

Key Concept: Area of a Sector

Example 3: Real-World Example: Area of a Sector

Page 3: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 202 units2

B. 198 units2

C. 62.7 units2

D. 28.4 units2

Find the area of the figure. Round to the nearest tenth if necessary.

Page 4: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 96 units2

B. 92.4 units2

C. 83.1 units2

D. 81.8 units2

Find the area of the figure. Round to the nearest tenth if necessary.

Page 5: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 70 units2

B. 72.5 units2

C. 75 units2

D. 77.5 units2

Find the area of the figure. Round to the nearest tenth if necessary.

Page 6: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 58.5 units2

B. 117 units2

C. 198 units2

D. 234 units2

Find the area of the figure. Round to the nearest tenth if necessary.

Page 7: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 6 units

B. 5 units

C. 4 units

D. 3 units

Trapezoid LMNO has an area of 55 square units. Find the height.

Page 8: Splash Screen

Over Lesson 11–2

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 4 m

B. 8 m

C. 16 m

D. 1800 m

The area of a kite is 120 square meters. The length of one diagonal is 15 meters. Find the length of the other diagonal.

Page 9: Splash Screen

MA.912.G.2.6 Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations in the plane.

MA.912.G.6.5 Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors.

Also addresses MA.912.G.8.2 and MA.912.G.8.3.

Page 10: Splash Screen

You found the circumference of a circle. (Lesson 10–1)

• Find areas of circles.

• Find areas of sectors of circles.

Page 13: Splash Screen

Area of a Circle

MANUFACTURING An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square inches.

The diameter of the umbrella is 72 inches, and the cover must extend 8 inches in each direction. So the diameter of the cover is 8 + 72 + 8 or 88 inches. Divide by 2 to find that the radius is 44 inches.

Page 14: Splash Screen

Area of a Circle

Answer: The area of the cover is about 6082 square inches.

Area of a circle

Substitution

Use a calculator.

Page 15: Splash Screen

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 62.8 ft2

B. 254.5 ft2

C. 314.2 ft2

D. 1256.6 ft2

A swimming pool company manufactures circular covers for above ground pools. If the cover is 1 foot longer than the pool on each side, find the area of the cover.

Page 16: Splash Screen

Use the Area of a Circle to Find a Missing Measure

ALGEBRA Find the radius of a circle with an area of 58 square inches.

Answer: The radius of the circle is about 4.3 in.

Area of a circle

Substitution

Divide each side by .

Simplify.4.3 ≈ r

Take the positive squareroot of each side.= r

Page 17: Splash Screen

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 3.8 in.

B. 4.5 in.

C. 5.7 in.

D. 7.6 in.

ALGEBRA Find the radius of a circle with an area of 45 square inches.

Page 19: Splash Screen

Area of a Sector

PIE A pie has a diameter of 9 inches and is cut into 10 congruent slices. What is the area of one slice to the nearest hundredth?

Step 1 Find the arc measure of a pie slice.

Since the pie is equally divided into 10 slices, each slice will have an arc measure of 360 ÷ 10 or 36.

Step 2 Find the radius of the pie. Use this measureto find the area of the sector, or slice.

The diameter is 9 inches, so the radius is4.5 inches.

Page 20: Splash Screen

Area of a Sector

Area of a sector

x = 36 and r = 4.5

Use a calculator.

Answer: The area of one slice of pie is about 6.36 square inches.

Page 21: Splash Screen

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 16.21 in2

B. 19.24 in2

C. 26.43 in2

D. 38.48 in2

PIZZA A pizza has a diameter of 14 inches and is cut into 8 congruent slices. What is the area of one slice to the nearest hundredth?

Page 22: Splash Screen

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