Question

Given the circle find the arc measure PLEASE HURRY EMERGENCY

Answer 1

Observe the given diagram carefully.

There is a circle divided into several arcs.

The angular measure of arc FG is to be determined.

Consider that the angular measure of an arc is equal to the corresponding central angle.

So it is required to evaluate the central angle of arc FG.

From the given diagram, it can be observed that FH passes through the center of the circle, so FH will be the diameter of the circle. It follows that FH divides the circle into two halves, each half can be considered as an arc of 180 degrees.

So the arc FH measures 180 degrees, while arc GH is given as 93 degrees,

`\begin{gathered} arc(FG)+arc(GH)=arc(FH) \\ arc(FG)+93=180 \\ arc(FG)=180-93 \\ arc(FG)=87 \end{gathered}`

Thus, the arc FG measures 87 degrees,