Question

A circular plate has circumference 33.9 inches. What is the area of this plate? Use 3.14 for it.The area of this plate is about square inches(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearestthousandth as needed.)

Answer 1

To answer this question we will use the following equations:

`\begin{gathered} Circumference=2\pi r, \\ Area=\pi r^2. \end{gathered}`

Since the circular plate has a circumference of 33.9in, then we can set the following equation:

`33.9in=2\pi r.`

Dividing the above equation by 2π we get:

`\begin{gathered} (33.9in)/(2\pi)=(2\pi r)/(2\pi), \\ r\approx5.398in. \end{gathered}`

Substituting r=5.398in in the second formula we get:

`\begin{gathered} Area=\pi *(5.398in)^2 \\ \approx91.494in^2\approx91in^2. \end{gathered}`

Answer:

`91in^2.`