Question

Identify the circumference and area of the given circle. 11 in

Answer 1

To find the circumference and area of a circle, you can use the following formulas:

1. **Circumference** \( C \) of a circle is given by:
\[
C = 2\pi r
\]
where \( r \) is the radius.

2. **Area** \( A \) of a circle is given by:
\[
A = \pi r^2
\]

In this case, you mentioned "11 in", which I assume is the diameter of the circle. Therefore, the radius \( r \) will be half of the diameter:

\[
r = \frac{11 \text{ in}}{2} = 5.5 \text{ in}
\]

Now we can calculate the circumference and area:

**Circumference**:
\[
C = 2\pi (5.5) \approx 2 \times 3.14 \times 5.5 \approx 34.56 \text{ in}
\]

**Area**:
\[
A = \pi (5.5)^2 \approx 3.14 \times 30.25 \approx 94.25 \text{ in}^2
\]

Thus, the circumference of the circle is approximately \( 34.56 \text{ in} \), and the area is approximately \( 94.25 \text{ in}^2 \).