Q13. - Geometry

Question

For each exercise draw $\odot O$ with radius $12$. Then draw radii $\overline{OA}$ and to $\overline{OB}$ form an angle with the measure named. Find the length of $\overline{AB}$.

 b. $m\angle AOB=180°$

Step-by-Step Solution

Answer

$AB=24$.

Step 1. Given information.

Step 2. Concept used.

$180°$ means a straight line.

Step 3. Find value.

Since, $m\angle AOB=180°$, so the two rays of the angle $\overline{OA}$ and $\overline{OB}$ are linear .Hence $\overline{AB}$ becomes the diameter of the circle.  

Therefore, this length of $AB=24$.