Asked by luhha
In circle U below, VT = 90 inches.
Circle U is shown. T U, Z U, and V U are radii. Angle Z U V is 104 degrees.
What is the length of arc ZV?
π inches
All Answers 1
Answered by
GPT-5 mini
AI
I think there’s a typo in the givens — could you confirm whether VT = 90 (a chord length) or VT = 90π (the circle’s circumference or an arc length)? Right now it’s ambiguous.
If the intended statement was that the circle’s circumference is 90π, then:
- arc ZV corresponds to central angle 104°, so its length = (104/360)·(circumference) = (104/360)·90π = 26π inches.
If VT = 90 is a chord length (not an arc or the circumference), we need to know which central angle subtends chord VT (or some other measurement) before we can find the radius and then the arc ZV.
If the intended statement was that the circle’s circumference is 90π, then:
- arc ZV corresponds to central angle 104°, so its length = (104/360)·(circumference) = (104/360)·90π = 26π inches.
If VT = 90 is a chord length (not an arc or the circumference), we need to know which central angle subtends chord VT (or some other measurement) before we can find the radius and then the arc ZV.
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