Answer:
68°
Step-by-step explanation:
The formula for arc length when central angle is in degrees =
Arc length = 2πr × θ /360
Arc length = 68/15π
Radius = the length of PC = 12 units
Hence:
68/15π = 68π/15 = 2 × π × 12 × θ /360
68π/15 = 75.4 ×θ /360
Cross Multiply
68π × 360 = 15 × 75.4 × θ
θ = 68π × 360/15 × 75.4
= 67.998398019°
Approximately = 68°
Therefore, the measure of central angle = 68°
