Answer:
1. A = 660.52 square units. C = 91.11 units.
2. A = 572.56 square units. C = 84.82 units.
3. A = 283.53 square units. C = 59.69 units.
4. A = 254.47 square units. C = 56.55 units.
5. A = 63.62 square units. C = 28.27 units.
6. A = 380.13 square units. C = 69.12 units.
Explanation:
The equations for Area and Circumference of a circle are as follows:
- A = πr², where r is the radius.
- C = 2πr, where r is the radius.
You are given the radius (or diameter) of each circle which can be substituted into the above equations for r. Diameter is the entire length across the circle through the center, which is equal to 2(r).
1. A = π(14.5)² = 660.5198. The area is approx. 660.52 square units.
C = 2π(14.5) = 91.106. The circumference is approx. 91.11 units.
2. A = π(13.5)² = 572.555. The area is approx. 572.56 square units.
C = 2π(13.5) = 84.823. The circumference is approx. 84.82 units.
3. A = π(9.5)² = 283.528. The area is approx. 283.53 square units.
C = 2π(9.5) = 59.690. The circumference is approx. 59.69 units.
4. Diameter = 18; 18/2 = 9 = r. So, A = π(9)² = 254.469. The area is approx. 254.47 square units.
C = 2π(9) = 56.548. The circumference is approx. 56.55 units.
5. r = 9/2 = 4.5. So, A = π(4.5)² = 63.617. The area is approx. 63.62 square units.
C = 2π(4.5) = 28.274. The circumference is approx. 28.27 units.
6. A = π(11)² = 380.132. The area is approx. 380.13 square units.
C = 2π(11) = 69.115. The circumference is approx. 69.12 units.