The central angle of a sector is 80° and whose length is 96π. What is the radius of the circle?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 216 units.
The length of an arc (s) = (θ/360) × 2πr
Where θ is the central angle in degrees and r is the radius of the circle
The central angle of the sector (θ) = 80°
Length of the arc (s)= 96π
So, 96π = (80/360) × 2πr
⇒ (4/9)r = 96
⇒ r = 216
Therefore, the radius of the circle is 216 units.