FractionsCalc • Free Math Worksheets
Circle Area and Circumference Worksheet
Apply formulas C = 2πr and A = πr² to solve circle geometry problems. 10 problems with calculation steps.
Geometry & Shapes
Medium / Intermediate
Middle School (Grades 6–8)
10 Problems
Name:
Date:
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______ / 10
1)
A circle has radius r = 7. Find Circumference (use π ≈ 22/7):
2)
A circle has radius r = 7. Find Area (use π ≈ 22/7):
3)
A circle has diameter d = 10. What is its radius r?
4)
A circle has radius r = 10. Find Circumference (use π ≈ 3.14):
5)
A circle has radius r = 10. Find Area (use π ≈ 3.14):
6)
A circle has diameter d = 14. Find its Area (use π ≈ 22/7):
7)
A circle has radius r = 21. Find Circumference (use π ≈ 22/7):
8)
A circle has radius r = 5. Find Area (use π ≈ 3.14):
9)
A circle has diameter d = 20. Find its radius r:
10)
A circle has radius r = 3. Find Circumference (use π ≈ 3.14):
Answer Key & Solutions
Circle Area and Circumference Worksheet
#1:
44
C = 2 × (22/7) × 7 = 44.
#2:
154
A = (22/7) × 7² = 22 × 7 = 154.
#3:
5
r = d ÷ 2 = 10 ÷ 2 = 5.
#4:
62.8
C = 2 × 3.14 × 10 = 62.8.
#5:
314
A = 3.14 × 10² = 3.14 × 100 = 314.
#6:
154
r = 7. A = (22/7) × 7² = 154.
#7:
132
C = 2πr = 2 × (22/7) × 21 = 2 × 22 × 3 = 132.
#8:
78.5
A = πr² = 3.14 × 5² = 3.14 × 25 = 78.5.
#9:
10
Radius is half of diameter: r = d / 2 = 20 / 2 = 10.
#10:
18.84
C = 2πr = 2 × 3.14 × 3 = 18.84.
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