Answer:
Arc length = 8π
Step-by-step explanation:
As we know that -
θ = arc length / radius (r) ...............(i)
As given in the question -
θ = 90°, arc length = 2π,
Put values in equation (i)-
90° = 2 π / r
r = 2 π / 90°
r = 2 × 180°/ 90°
r = 4
Now Circumference of circle = 2 π r
= 2π × 4
= 8π
Hence arc length of circle is 8π.
