Question

A carnival equipment manufacturer states that the circular platform of a particular merry-go-round has a circumference of 6.28 yards. What is the platform's area?

Answer 1

Given:

The circumference of the platform is 6.28 yards.

To find: The platform's area

Step-by-step explanation:

The formula of the circumference of the circle is,

`\begin{gathered} C=2\pi r \\ 6.28=2*(22)/(7)* r \\ r=6.28*(1)/(2)*(7)/(22) \\ =0.999 \\ \approx1yard \end{gathered}`

The formula of the area of the circle is,

`\begin{gathered} A=\pi r^2 \\ =(22)/(7)*1*1 \\ =3.137 \\ \approx3.14yards^2 \end{gathered}`

Final answer: The platform's area is 3.14 square yards.