Answer: The measure of the central angle indicated in red is 20°
Explanation:
We know that a circle subtends an angle of 360° at the centre.
In other words, the circumference of length 6 subtends an angle of 360°, and similarly, we have to find out the angle that length
subtends at the centre.
By rule of direct proportion:
if 6→360° Then,
→x°
Cross multiplying
The general formula for calculating any angle subtended by an arc of length x:
where x is the given length of arc and c is the circumference.