Circles: Area and Circumference
Explore the concepts of area and circumference of circles with this worksheet designed for 6th graders.
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Circles: Area and Circumference
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Read each question carefully and answer to the best of your ability. Show all your work for full credit. Use π ≈ 3.14 for all calculations.
1. Define the following terms in your own words:
a) Radius:
b) Diameter:
c) Circumference:
d) Area:
2. Complete the following formulas:
a) The formula for the circumference of a circle is C = or C = .
b) The formula for the area of a circle is A = .
3. A circular garden has a radius of 7 meters. What is its circumference?
21.98 m
43.96 m
153.86 m
307.72 m
4. A circular pizza has a diameter of 14 inches. What is the area of the pizza?
43.96 sq. in.
87.92 sq. in.
153.86 sq. in.
615.44 sq. in.
5. For each circle below, calculate both the circumference and the area. Show your work.
a) Circle with radius = 5 cm
Circumference:
Area:
b) Circle with diameter = 10 m
Circumference:
Area:
6. Use the words from the bank to fill in the blanks:
a) The distance around a circle is called the .
b) The distance from the center of a circle to any point on its edge is the .
c) The distance across a circle through its center is the .
d) The space inside a circle is its .
e) We use the mathematical constant (approximately 3.14) in circle formulas.
7. Determine if the following statements are true or false:
a) If the radius of a circle is 6 cm, its diameter is 12 cm.
True
False
b) The circumference of a circle is always less than its area.
True
False
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