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

1 answer

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 \( 94.25 \text{ in}^2 \).