Question

Caculate the arc length of GH in terms of pie

Answer 1

`GH\text{ = }(10)/(3)\pi\text{ mm}`

Here, we want to calculate the arc length GH in terms of pi

What we will do here is to use the formula for the length of an arc

However, looking at the central angle, we can see it is 60

60 is actually 1/6 of the angle at the center which is 360

Thus, we have the arc length as 1/6 of the length of the circumfrence of the circle

Mathematically, we have this as;

`\begin{gathered} GH\text{ = }(1)/(6)\text{ }*\text{ 2}*\text{ }\pi*\text{ r} \\ \\ r\text{ is radius = 10}mm \\ \\ GH\text{ = }(1)/(6)*2*\pi*10 \\ \\ GH\text{ = }(10)/(3)\pi\text{ mm} \end{gathered}`