Answer:
[tex]\frac{\pi}{4} [/tex]
Step-by-step explanation:
360° = 2π radians
Length of arc = central angle / 360° × 2πr
Length of arc = central angle / 2π × 2πr in radians
Length of arc = central angle × r
central angle = Length of arc / r
= (π / 2) ÷ 2
= (π / 2) × 1/2
[tex] = \frac{\pi}{4} [/tex]
