Question

Find the radius of a circle with circumference of 55.3. Round to the nearest tenth.

Answer 1

The circumference of the circle is given as 55.3 unit. we were asked to find the radius of the circle.

`\begin{gathered} \text{circumference = 2}\pi r \\ \text{where} \\ r\text{ = radius} \\ \pi\text{ = 22/7 or 3.14} \\ \text{circumference = 2}\pi r \\ \text{circumference = 2 }*\text{ }(22)/(7)\text{ }*\text{ r} \\ 55.3\text{ = }(44r)/(7) \\ \text{cross multiply} \\ 44r\text{ = 55.3 }*\text{ 7} \\ 44\text{r = }387.1 \\ \text{divide both sides by 44} \\ r\text{ = }(387.1)/(44) \\ r\text{ = }8.79772727273 \\ r\text{ }\approx\text{ 8.8 (nearest tenth)} \end{gathered}`