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3 years ago

The arc length

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

s = rθ
2.5 radians
143.24°

Step-by-step explanation:

The applicable formula is ...

s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

15 = 6θ

θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

2.5(180°/π) ≈ 143.24°

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