Question

find the Length of an arcade of a circle whose central angle is 212° and radius is 5.3 inches. round your answer to the nearest tenth.

Answer 1

The length of the arc of the circle is 19.6 inches

We can find the length of the arc using the formula;

`L\text{ = }(\theta)/(360)\text{ }*\text{ 2}\pi r`

where ;

`\begin{gathered} \theta\text{ is central angle which is 212} \\ r\text{ is radius which is 5.3 inches} \end{gathered}`

Substituting these values;

`\begin{gathered} L\text{ = }(212)/(360)\text{ }*\text{ 2 }*(22)/(7)\text{ }*\text{ 5.3} \\ \\ L\text{ = 19.618413} \\ \\ To\text{ the nearest tenth, this is 19.6 inches} \end{gathered}`