Question

a circular plate has circumferences of 33.9 inches . what is the area of this plate ? use 3.14 for

Answer 1

To find the area of a circular plate given its circumference, we can first use the formula for circumference:

\[
C = 2\pi r
\]

where \( C \) is the circumference and \( r \) is the radius. Given that the circumference \( C \) is 33.9 inches, we can solve for \( r \):

\[
33.9 = 2 \times 3.14 \times r
\]

Now we can solve for \( r \):

\[
r = \frac{33.9}{2 \times 3.14}
\]
\[
r = \frac{33.9}{6.28} \approx 5.4 \text{ inches}
\]

Next, we can find the area \( A \) of the circle using the formula:

\[
A = \pi r^2
\]

Now we can substitute \( r \) and \( \pi \):

\[
A = 3.14 \times (5.4)^2
\]
\[
A = 3.14 \times 29.16 \approx 91.7034 \text{ square inches}
\]

So, the area of the circular plate is approximately **91.70 square inches**.