Answer :
To find the circumference and the area of a circle with a diameter of 2 cm, we will use the formulas for circumference and area of a circle.
### Step 1: Calculate the radius
The radius (r) of a circle is half of the diameter (d). Given that the diameter is 2 cm:
[tex]\[ r = \frac{d}{2} = \frac{2 \, \text{cm}}{2} = 1 \, \text{cm} \][/tex]
### Step 2: Calculate the circumference
The circumference (C) of a circle is given by the formula:
[tex]\[ C = 2\pi r \][/tex]
Using the value [tex]\(\pi = 3.14\)[/tex] and the radius [tex]\(r = 1 \, \text{cm}\)[/tex], we get:
[tex]\[ C = 2 \times 3.14 \times 1 = 6.28 \, \text{cm} \][/tex]
### Step 3: Calculate the area
The area (A) of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
Using the value [tex]\(\pi = 3.14\)[/tex] and the radius [tex]\(r = 1 \, \text{cm}\)[/tex]:
[tex]\[ A = 3.14 \times (1)^2 = 3.14 \, \text{cm}^2 \][/tex]
### Final Answer:
- The radius of the circle is [tex]\(1 \, \text{cm}\)[/tex].
- The circumference of the circle is [tex]\(6.28 \, \text{cm}\)[/tex].
- The area of the circle is [tex]\(3.14 \, \text{cm}^2\)[/tex].
These are the detailed steps and calculations to find the circumference and area of the circle with a diameter of 2 cm.
### Step 1: Calculate the radius
The radius (r) of a circle is half of the diameter (d). Given that the diameter is 2 cm:
[tex]\[ r = \frac{d}{2} = \frac{2 \, \text{cm}}{2} = 1 \, \text{cm} \][/tex]
### Step 2: Calculate the circumference
The circumference (C) of a circle is given by the formula:
[tex]\[ C = 2\pi r \][/tex]
Using the value [tex]\(\pi = 3.14\)[/tex] and the radius [tex]\(r = 1 \, \text{cm}\)[/tex], we get:
[tex]\[ C = 2 \times 3.14 \times 1 = 6.28 \, \text{cm} \][/tex]
### Step 3: Calculate the area
The area (A) of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
Using the value [tex]\(\pi = 3.14\)[/tex] and the radius [tex]\(r = 1 \, \text{cm}\)[/tex]:
[tex]\[ A = 3.14 \times (1)^2 = 3.14 \, \text{cm}^2 \][/tex]
### Final Answer:
- The radius of the circle is [tex]\(1 \, \text{cm}\)[/tex].
- The circumference of the circle is [tex]\(6.28 \, \text{cm}\)[/tex].
- The area of the circle is [tex]\(3.14 \, \text{cm}^2\)[/tex].
These are the detailed steps and calculations to find the circumference and area of the circle with a diameter of 2 cm.
