Question

The area of a circular rug is 78.5ft. What is the diameter of the rug, to the nearest whole foot?

Answer 1

area = 78.5 ft squared

diameter = ?

`\begin{gathered} \text{area of a circular rug=}\pi r^2 \\ 78.5=3.14*((d)/(2))^2 \\ 78.5=3.14*(d^2)/(4) \\ 78.5=(3.14d^2)/(4) \\ \text{cross multiply} \\ 3.14d^2=314 \\ d^2=(314)/(3.14) \\ d^2=100 \\ d=\sqrt[]{100} \\ d=10 \end{gathered}`