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Consider circle C with angle ACB measuring StartFraction 3 pi Over 4 EndFraction radians.

Circle C is shown. Line segments A C and B C are radii. Angle A C B is StartFraction 3 pi Over 4 EndFraction radians.

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.

6 inches
12 inches
18 inches
24 inches

Respuesta :

Answer:

12 inches

Step-by-step explanation:

I just took the unit test review on edge

Lanuel

Since the minor arc AB measures 9π inches, the length of the radius of circle C is equal to: B. 12 inches.

Given the following data:

  • Arc length = 9π inches.
  • Central angle = 3π/4 radians.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle is calculated by using this formula:

Arc length = rθ

Where:

  • r is the radius of a circle.
  • is the angle measured in radians.

Substituting the given parameters into the formula, we have:

9π = r × 3π/4

36π = 3πr

36 = 3r

r = 36/3

Radius, r = 12 inches.

Read more on arc length here: https://brainly.com/question/20594692

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