Question

Find the length of QS.РS53020Note: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.

Answer 1

Answer;

$8.2$

Explanation;

Here, we want to find the measure of the arc JL

Mathematically, the sum of the angles for the major and minor segments in a circle is a total 360

Now, if we get the measure of the arc length JL, divide by 360, then multiply by the circumference value length of the circle, we can get the measure of the length

As we can see, the measure of the radius of the circle is 8 units

Now, we proceed to find the measure of the arc length in degrees;

To get the length JL, we use the appropriate angle arc relationship as follows;

$\begin{gathered} m\text{ JL = 2(71)-83} \\ m\text{ JL = 59} \end{gathered}$

The angle 59 is the measure of the angle subtended at the center by arc JL

The measure of its length is thus;

$\begin{gathered} \frac{\theta}{360}\times2\times\pi\times r \\ \\ =\frac{59}{360}\times2\times3.14\times8\text{ = 8.2} \end{gathered}$