Expressions, Equations, and Relationships>Determining the Circumference and Area of Circles(TEKS.Math.7.9.B)

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Texas 7th Grade Math › Expressions, Equations, and Relationships>Determining the Circumference and Area of Circles(TEKS.Math.7.9.B)

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1

A circle has a radius of 7.5 cm. What is the circumference?

47.10 cm

CORRECT

23.55 cm

0

176.63 square centimeters

0

94.20 cm

0

Explanation

Use $C=2\pi r$ because the radius is given. $C=2(3.14)(7.5)=47.1\text{ cm}$ (about $47.10\text{ cm}$). Circumference uses linear units (cm), not square units.

2

A circular pool has a diameter of 24 feet. What is the area?

75.36 feet

0

1808.64 square feet

0

452.16 square feet

CORRECT

37.68 square feet

0

Explanation

Area uses $A=\pi r^2$. With diameter 24 ft, $r=12$ ft. $A=3.14(12)^2=3.14(144)=452.16\text{ square feet}$. Use square units for area.

3

A circular sticker has a diameter of 9 inches. What is the circumference?

56.52 inches

0

14.13 inches

0

63.59 square inches

0

28.26 inches

CORRECT

Explanation

For circumference with diameter, use $C=\pi d$. $C=3.14(9)=28.26\text{ inches}$. Circumference is a length (linear units), not square inches.

4

A circular garden has a radius of 3.2 meters. What is the area?

20.10 meters

0

32.15 square meters

CORRECT

128.61 square meters

0

10.05 square meters

0

Explanation

Use $A=\pi r^2$ because the radius is given. $A=3.14(3.2)^2=3.14(10.24)=32.15\text{ square meters}$. Area must be in square units.

5

A bike wheel has a radius of 14 inches. What is the circumference?

87.92 inches

CORRECT

43.96 inches

0

175.84 inches

0

87.92 square inches

0

Explanation

Use $C=2\pi r$ for circumference with radius. $C=2(3.14)(14)=87.92\text{ inches}$. Circumference is linear, so do not use square units.