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Find the area and circumference for the following radii:

1. 5 cm
2. 8.5 meters
3. 12 inches
4. 3.2 feet
5. 15 mm
6. 7.25 cm
7. 10.6 inches
8. 6.8 meters
9. 2.3 feet
10. 9.4 cm
11. 14 inches
12. 11.7 meters
13. 4.6 feet
14. 6.3 cm
15. 13.8 inches
16. 8.2 meters
17. 5.5 feet
18. 17 cm
19. 9 inches
20. 6.4 meters
21. 3.9 feet
22. 12.5 cm
23. 20 inches
24. 8.9 meters
25. 4.7 feet
26. 11 cm
27. 16.3 inches
28. 7.6 meters
29. 2.8 feet
30. 9.1 cm

Answer :

To find the area and circumference of circles given their radius, we use the formulas Area (A) = π * r² and Circumference (C) = 2 * π * r. The detailed answer provides calculations for different radii given in the question. Each calculation includes the area and circumference based on the given radius values.

Here are the calculations for each radius:

  1. Radius: 5 cm
    Area: A = π * (5 cm)² = 78.54 cm²
    Circumference: C = 2 * π * 5 cm = 31.42 cm
  2. Radius: 8.5 meters
    Area: A = π * (8.5 m)² = 226.98 m²
    Circumference: C = 2 * π * 8.5 m = 53.41 m
  3. Radius: 12 inches
    Area: A = π * (12 in)² = 452.39 in²
    Circumference: C = 2 * π * 12 in = 75.4 in
  4. Radius: 3.2 feet
    Area: A = π * (3.2 ft)² = 32.17 ft²
    Circumference: C = 2 * π * 3.2 ft = 20.11 ft
  5. Radius: 15 mm
    Area: A = π * (1.5 cm)² = 7.07 cm²
    Circumference: C = 2 * π * 1.5 cm = 9.42 cm
  6. Radius: 7.25 cm
    Area: A = π * (7.25 cm)² = 165.13 cm²
    Circumference: C = 2 * π * 7.25 cm = 45.6 cm
  7. Radius: 10.6 inches
    Area: A = π * (10.6 in)² = 353.32 in²
    Circumference: C = 2 * π * 10.6 in = 66.6 in
  8. Radius: 6.8 meters
    Area: A = π * (6.8 m)² = 145.27 m²
    Circumference: C = 2 * π * 6.8 m = 42.72 m
  9. Radius: 2.3 feet
    Area: A = π * (2.3 ft)² = 16.62 ft²
    Circumference: C = 2 * π * 2.3 ft = 14.45 ft
  10. Radius: 9.4 cm
    Area: A = π * (9.4 cm)² = 277.26 cm²
    Circumference: C = 2 * π * 9.4 cm = 59.06 cm
  11. Radius: 14 inches
    Area: A = π * (14 in)² = 615.75 in²
    Circumference: C = 2 * π * 14 in = 87.96 in
  12. Radius: 11.7 meters
    Area: A = π * (11.7 m)² = 430.01 m²
    Circumference: C = 2 * π * 11.7 m = 73.54 m
  13. Radius: 4.6 feet
    Area: A = π * (4.6 ft)² = 66.48 ft²
    Circumference: C = 2 * π * 4.6 ft = 28.87 ft
  14. Radius: 6.3 cm
    Area: A = π * (6.3 cm)² = 124.69 cm²
    Circumference: C = 2 * π * 6.3 cm = 39.58 cm
  15. Radius: 13.8 inches
    Area: A = π * (13.8 in)² = 598.71 in²
    Circumference: C = 2 * π * 13.8 in = 86.72 in
  16. Radius: 8.2 meters
    Area: A = π * (8.2 m)² = 211.24 m²
    Circumference: C = 2 * π * 8.2 m = 51.52 m
  17. Radius: 5.5 feet
    Area: A = π * (5.5 ft)² = 95.03 ft²
    Circumference: C = 2 * π * 5.5 ft = 34.56 ft
  18. Radius: 17 cm
    Area: A = π * (17 cm)² = 907.92 cm²
    Circumference: C = 2 * π * 17 cm = 106.81 cm
  19. Radius: 9 inches
    Area: A = π * (9 in)² = 254.47 in²
    Circumference: C = 2 * π * 9 in = 56.55 in
  20. Radius: 6.4 meters
    Area: A = π * (6.4 m)² = 128.68 m²
    Circumference: C = 2 * π * 6.4 m = 40.21 m
  21. Radius: 3.9 feet
    Area: A = π * (3.9 ft)² = 47.78 ft²
    Circumference: C = 2 * π * 3.9 ft = 24.49 ft
  22. Radius: 12.5 cm
    Area: A = π * (12.5 cm)² = 490.87 cm²
    Circumference: C = 2 * π * 12.5 cm = 78.54 cm
  23. Radius: 20 inches
    Area: A = π * (20 in)² = 1256.64 in²
    Circumference: C = 2 * π * 20 in = 125.66 in
  24. Radius: 8.9 meters
    Area: A = π * (8.9 m)² = 248.32 m²
    Circumference: C = 2 * π * 8.9 m = 55.93 m
  25. Radius: 4.7 feet
    Area: A = π * (4.7 ft)² = 69.36 ft²
    Circumference: C = 2 * π * 4.7 ft = 29.53 ft
  26. Radius: 11 cm
    Area: A = π * (11 cm)² = 380.13 cm²
    Circumference: C = 2 * π * 11 cm = 69.12 cm
  27. Radius: 16.3 inches
    Area: A = π * (16.3 in)² = 834.69 in²
    Circumference: C = 2 * π * 16.3 in = 102.42 in
  28. Radius: 7.6 meters
    Area: A = π * (7.6 m)² = 181.46 m²
    Circumference: C = 2 * π * 7.6 m = 47.75 m
  29. Radius: 2.8 feet
    Area: A = π * (2.8 ft)² = 24.63 ft²
    Circumference: C = 2 * π * 2.8 ft = 17.59 ft
  30. Radius: 9.1 cm
    Area: A = π * (9.1 cm)² = 260.77 cm²
    Circumference: C = 2 * π * 9.1 cm = 57.17 cm

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Rewritten by : Barada