Using the arc length formula, the length of ST in the circle is: 15 units.
What is the Arc length Formula?
Arc length of a circle = ∅/360 × 2πr.
In the image given, we have:
∅ = m∠TSU = 72º
Arc length TU = 6π
r = ST
Plug in the values
6π = 72/360 × 2π(ST)
6π = 0.2 × 2π(ST)
6π/2π = 0.2 × ST
3 = 0.2(ST)
3/0.2 = ST
ST = 15 units.
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