Question

What is the area of the circle below?
D= 26 in
- 81.64
- 530.66
- 2122.64
- 40.82
- 169

Answer 1

what is the circumference of the same circle?
-169
-40.82
-81.64
-163.28
-530.66
-2122.64
-13
-52
-we cannot determine

Answer 2

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

\[
\text{Area} = \pi r^2
\]

where \( r \) is the radius of the circle. The diameter \( D \) is given as 26 inches, so the radius \( r \) is half of the diameter:

\[
r = \frac{D}{2} = \frac{26}{2} = 13 \text{ inches}
\]

Now, substitute the radius into the area formula:

\[
\text{Area} = \pi (13)^2 = \pi (169)
\]

Using \( \pi \approx 3.14 \):

\[
\text{Area} \approx 3.14 \times 169 \approx 535.46 \text{ square inches}
\]

Considering the provided options, the closest match appears to be **530.66**.

Thus, the correct answer is approximately **530.66 square inches**.

Answer 3

The circumference of a circle can be calculated using the formula:

\[
\text{Circumference} = \pi D
\]

where \( D \) is the diameter. Given the diameter \( D = 26 \) inches, we can calculate the circumference as follows:

\[
\text{Circumference} = \pi \times 26
\]

Using \( \pi \approx 3.14 \):

\[
\text{Circumference} \approx 3.14 \times 26 \approx 81.64 \text{ inches}
\]

Thus, the circumference of the circle is approximately **81.64 inches**.