Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π