1. Problem: Find the area of circles given the circumference.
2. Formula: Circumference $C = 2\pi r$ and Area $A = \pi r^2$.
3. Important: Use $\pi = 3.14$ and solve for radius $r$ first by rearranging circumference formula:
$$r = \frac{C}{2\pi}$$
4. Number 20: $C = 6\pi$ ft
Calculate radius:
$$r = \frac{6\pi}{2\pi} = \frac{6\cancel{\pi}}{2\cancel{\pi}} = 3 \text{ ft}$$
Calculate area:
$$A = 3.14 \times 3^2 = 3.14 \times 9 = 28.26 \text{ ft}^2$$
5. Number 22: $C = 24\pi$ cm
Calculate radius:
$$r = \frac{24\pi}{2\pi} = \frac{24\cancel{\pi}}{2\cancel{\pi}} = 12 \text{ cm}$$
Calculate area:
$$A = 3.14 \times 12^2 = 3.14 \times 144 = 452.16 \text{ cm}^2$$
6. Number 23: $d = 30$ m
Radius:
$$r = \frac{d}{2} = \frac{30}{2} = 15 \text{ m}$$
Calculate circumference:
$$C = 2 \times 3.14 \times 15 = 94.2 \text{ m}$$
Calculate area:
$$A = 3.14 \times 15^2 = 3.14 \times 225 = 706.5 \text{ m}^2$$
7. Number 25: $r = 3.1$ cm
Calculate circumference:
$$C = 2 \times 3.14 \times 3.1 = 19.468 \text{ cm}$$
Calculate area:
$$A = 3.14 \times 3.1^2 = 3.14 \times 9.61 = 30.1594 \text{ cm}^2$$
Final answers:
20. Area = 28.26 ft^2
22. Area = 452.16 cm^2
23. Circumference = 94.2 m, Area = 706.5 m^2
25. Circumference = 19.468 cm, Area = 30.1594 cm^2
Circle Area Circumference 7A487A
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