4)) The radius of a circle is 16 inches. What is the circle's area? (1) Use $$ \pi \approx 3.14 $$ and round your answer to the nearest hundredth. 4) $$ \square $$ square inches

Question

UpStudy AI · Accepted Answer

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

$$
A = \pi r^2
$$

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

### Step 1: Identify the known values
- Radius $$ r = 16 $$ inches
- Approximation for $$ \pi \approx 3.14 $$

### Step 2: Substitute the known values into the formula
Now we can substitute the radius into the area formula:

$$
A = 3.14 \times (16)^2
$$

### Step 3: Calculate $$ (16)^2 $$
First, we calculate $$ (16)^2 $$:

$$
(16)^2 = 256
$$

### Step 4: Calculate the area
Now substitute $$ 256 $$ back into the area formula:

$$
A = 3.14 \times 256
$$

### Step 5: Perform the multiplication
Now we will calculate $$ 3.14 \times 256 $$:

$$
A = 3.14 \times 256 = 804.64
$$

### Step 6: Round to the nearest hundredth
The area of the circle, rounded to the nearest hundredth, is:

$$
804.64 \text{ square inches}
$$

Thus, the final answer is:

$$
\boxed{804.64} \text{ square inches}
$$
The area of the circle is 804.64 square inches.

4)) The radius of a circle is 16 inches. What is the circle's area? (1) Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. 4) \( \square \) square inches

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Geometry Questions