Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of...

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circle center radius diameter circumference pi Find the circumference and area of circles.

Transcript of Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of...

Page 1: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

• circle

• center• radius• diameter• circumference• pi

• Find the circumference and area of circles.

Page 3: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Find the Circumferences of Circles

Find the circumference of the circle. Round to the nearest tenth.

Answer: The circumference is about 15.7 feet.

C = d Circumference of a circle

C = 5 Replace d with 5.

C = 5 This is the exact circumference.

Use a calculator to find 5. 5 15.70796327× ENTER=

Page 4: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 38.5 in.

B. 31.4 in.

C. 22.0 in.

D. 19.7 in.

Find the circumference of the circle. Round to the nearest tenth.

Page 5: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Find the Circumferences of Circles

Find the circumference of the circle. Round to the nearest tenth.

Answer: The circumference is about 23.9 meters.

C = 2r Circumference of a circle

C = 2 3.8 Replace r with 3.8.

C ≈ 23.9 Use a calculator.

Page 6: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 9.4 m

B. 11.3 m

C. 18.5 m

D. 22.6 m

Find the circumference of the circle. Round to the nearest tenth.

Page 8: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Find the Areas of Circles

Find the area of the circle. Round to the nearest tenth.

Answer: The area is about 28.3 square yards.

A = r2 Area of a circle

A = 32 Replace r with 3.

A = 9 Evaluate 32.

A ≈ 28.3 Use a calculator.

Page 9: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 12.6 ft2

B. 14.1 ft2

C. 15.3 ft2

D. 17.4 ft2

Find the area of the circle. Round to the nearest tenth.

Page 10: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Find the area of the circle. Round to the nearest tenth.

Answer: The area is about 78.5 square inches.

Find the Areas of Circles

A = r2 Area of a circle

A = 52 Replace r with half of 10 or 5.

A = 25 Evaluate 52.

A ≈ 78.5 Use a calculator.

Page 11: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 42.7 cm2

B. 50.3 cm2

C. 52.1 cm2

D. 54.6 cm2

Find the area of the circle. Round to the nearest tenth.

Page 12: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

POOLS The Patels have a circular pool with a radius of 12 feet. They plan on installing a 4-foot-wide walkway around the pool. What will be the area of the walkway?

To determine the area of the walkway, you must subtract the area of the pool from the area of the outer circle that includes the pool and the walkway.

Page 13: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Area of Outer Circle

A = r2 Area of a circle

A = (16)2 Replace r with 12 + 4 or 16.

A = 256 Evaluate 162.

Page 14: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Area of Pool

A = r2 Area of a circle

A = 122 Replace r with 12.

A = 144 Evaluate 122.

Page 15: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Area of Walkway = Area of Outer Circle – Area of Pool

Answer: The area of the walkway is about 351.9 square feet.

≈ 256 – 144

≈ 351.9

Page 16: Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 62.8 ft2

B. 84.3 ft2

C. 99.2 ft2

D. 113.1 ft2

POOLS The Shoemakers have a circular pond with a radius of 4 feet. They plan on installing a 2-foot-wide walkway around the pond. What will be the area of the walkway?