Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC =
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,
The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
<u>Given</u>:
The given inequality is
We need to determine the solution of the inequality in interval notation.
<u>Solution of the inequality:</u>
The solution of the inequality can be determined by simplifying the inequality.
Thus, we have,
Subtracting both sides by 3, we get;
Subtracting both sides by 2u, we have;
Dividing both sides by 4, we get;
Writing it in interval notation, we get;
Thus, the solution of the inequality is