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Ksenya-84 [330]
3 years ago
14

rounded to the nearest whole, what is the radius length if minor arcYZ = 12 and angleYXZ is one-third of a full circle? (i guess

ed it idk if it’s right)

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

Option (1)

Step-by-step explanation:

Since the length of arc YZ = 12 units

m∠YXZ = one third of the full circle = \frac{360}{3} = 120°

From the formula of arc length,

Length of arc = \frac{\theta}{360}(2\pi r)

Where θ = Central angle subtended by the arc

r = radius of the circle

By substituting these values in the formula,

12 = \frac{120}{360}(2\pi r)

12 = \frac{2}{3}\pi r

18=\pi r

r = \frac{18}{\pi }

r = 5.73

r ≈ 6 units

Therefore, Option (1) will be the answer.

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