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