Free Printable Area and Circumference of a Circle

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Area and Circumference of a Circle

Total questions: 20

Worksheet time: 3600secs

Name

Class

Date

a line that goes from one edge of the circle to another and crosses the center point

center

diameter

dime eater

radius

What is the distance around a circle?

Circumference

Area

Diameter

Radius

What is π ? (Best Choice)

The ratio of the circumference of any circle to its diameter.

Exactly 3.14

Exactly 3.1415

Exactly 3.141593

What is the formula for finding the circumstance of a circle with just the diameter?

$\pi d$

$bh$

$Cr$

I do not know

What is the circumference of a circle with a radius of 5 in terms of π ?

5 π square units

10 π square units

25 π square units

50 π square units

What is the circumference? Round to the nearest whole number.

A Circle has a radius of 4. What is the circumference of the circle? (Best Choice)

4π or about 12.56

16π or about 50.24

2π or about 6.28

8π or about 25.12

what is the circumference of this circle ?

3.14 cm

37.68 cm

24 cm

68.4 cm

What is the formula for area of a circle given the radius?

A = πr

A = 2πr

A = πd

A = πr²

10.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

49.2 cm²

45.6 cm²

50.24 cm²

55.9 cm²

11.

A circle has an area of 36π. What is the circumference of the circle?

18π

12π

6π

36π

12.

What is the area of this circle?

82.13

78.5

314.16

170.12

13.

ENRICHMENT: A farmer grows potatoes on a circular plot of land that has a radius of 20 meters. Each potato plant requires 2 square meters of soil. What is the maximum number of potato plants the farmer can grow?

628

1256

2512

14.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 cm. What is the ring's circumference?

11.32 cm

12.25 cm

11.00 cm

8.75 cm

15.

What is the formula for the area of a circle in terms of the diameter?

$\pi d$

$\pi d^2$

$\frac{\pi d^2}{2}$

$\frac{\pi d^2}{4}$

16.

What is the formula for area of a sector?

$2\pi r\times\frac{\theta}{360}$

$\pi r^2$

$\pi d\times\frac{\theta}{360}$

$\pi r^2\times\frac{\theta}{360}$

17.

Calculate the length of the bold arc.

5040 cm

43 cm

44 cm

14 cm

18.

Calculate the area of the sector.

9.2 sq. in.

10.5 sq. in.

31.4 sq. in.

38.2 sq. in.

19.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

20.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

123

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Area and Circumference of a Circle

Total questions: 20

Worksheet time: 3600secs

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