Find the area of a circle with a diameter of 8 cm .
Use Leave the decimal as is.

Ask by Chadwick Mcguire. in the United States

Mar 20,2025

Question

Find the area of a circle with a diameter of 8 cm . Use $$ \pi=3.14 $$ Leave the decimal as is. $$ \square \mathrm{cm}^{2} $$

UpStudy AI · Accepted Answer

To find the area of a circle, we can use the formula:

$$
A = \pi r^2
$$

where $$ A $$ is the area and $$ r $$ is the radius of the circle.

1. **Extract the known conditions:**
   - The diameter of the circle is given as 8 cm.
   - Therefore, the radius $$ r $$ can be calculated as:
   $$
   r = \frac{\text{diameter}}{2} = \frac{8 \, \text{cm}}{2} = 4 \, \text{cm}
   $$

2. **Substituting the radius into the area formula:**
   $$
   A = \pi r^2 = 3.14 \times (4 \, \text{cm})^2
   $$

3. **Calculating $$ (4 \, \text{cm})^2 $$:**
   $$
   (4 \, \text{cm})^2 = 16 \, \text{cm}^2
   $$

4. **Now substituting back into the area formula:**
   $$
   A = 3.14 \times 16 \, \text{cm}^2
   $$

5. **Calculating the area:**
   $$
   A = 50.24 \, \text{cm}^2
   $$

Thus, the area of the circle is $$ 50.24 \, \text{cm}^2 $$.
The area of the circle is $$ 50.24 \, \text{cm}^{2} $$.

Find the area of a circle with a diameter of 8 cm .
Use Leave the decimal as is.

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Find the area of a circle with a diameter of 8 cm . Use Leave the decimal as is.