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.
Step-by-step 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 <em>r</em>. 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 = <em>r. </em>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.
