Answer :
Certainly! To find the perimeter (which is also called the circumference) of a circle, you can use the formula:
[tex]\[ C = 2 \pi r \][/tex]
where:
- [tex]\(C\)[/tex] is the circumference,
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14159,
- [tex]\(r\)[/tex] is the radius of the circle.
Let's calculate the perimeter for the two radii provided:
### 1. Perimeter of a circle with radius 3.5 cm
1. Substitute [tex]\( r = 3.5 \)[/tex] cm into the formula:
[tex]\[ C = 2 \pi \times 3.5 \][/tex]
2. Calculate the value:
[tex]\[ C = 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 21.9911 \text{ cm} \][/tex]
So, the perimeter of the circle with radius 3.5 cm is approximately 21.9911 cm.
### 2. Perimeter of a circle with radius 14 cm
1. Substitute [tex]\( r = 14 \)[/tex] cm into the formula:
[tex]\[ C = 2 \pi \times 14 \][/tex]
2. Calculate the value:
[tex]\[ C = 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 87.9646 \text{ cm} \][/tex]
So, the perimeter of the circle with radius 14 cm is approximately 87.9646 cm.
### Summary:
- The perimeter of the circle with radius 3.5 cm is approximately 21.9911 cm.
- The perimeter of the circle with radius 14 cm is approximately 87.9646 cm.
[tex]\[ C = 2 \pi r \][/tex]
where:
- [tex]\(C\)[/tex] is the circumference,
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14159,
- [tex]\(r\)[/tex] is the radius of the circle.
Let's calculate the perimeter for the two radii provided:
### 1. Perimeter of a circle with radius 3.5 cm
1. Substitute [tex]\( r = 3.5 \)[/tex] cm into the formula:
[tex]\[ C = 2 \pi \times 3.5 \][/tex]
2. Calculate the value:
[tex]\[ C = 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 3.5 \][/tex]
[tex]\[ C \approx 21.9911 \text{ cm} \][/tex]
So, the perimeter of the circle with radius 3.5 cm is approximately 21.9911 cm.
### 2. Perimeter of a circle with radius 14 cm
1. Substitute [tex]\( r = 14 \)[/tex] cm into the formula:
[tex]\[ C = 2 \pi \times 14 \][/tex]
2. Calculate the value:
[tex]\[ C = 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 2 \times 3.14159 \times 14 \][/tex]
[tex]\[ C \approx 87.9646 \text{ cm} \][/tex]
So, the perimeter of the circle with radius 14 cm is approximately 87.9646 cm.
### Summary:
- The perimeter of the circle with radius 3.5 cm is approximately 21.9911 cm.
- The perimeter of the circle with radius 14 cm is approximately 87.9646 cm.
