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In circle BB, B, C, equals, 9BC=9 and the area of shaded sector = 9, pi9π. Find the length of arc, C, E, D CED⌢ . Express your answer as a fraction times piπ.

Question

In circle BB,

  • B, C = 9
  • 9BC = 9
  • The area of shaded sector = 9π

Find the length of arc, CED CED CED CED⌢ . Express your answer as a fraction times π π .

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Solution

The problem seems to be missing some information or the formatting is off, making it difficult to understand. However, I'll try to provide a general solution based on the information given.

  1. First, we need to find the radius of the circle. Since we know that the length of segment BC is 9, and B is the center of the circle, the radius of the circle is also 9.

  2. Next, we need to find the area of the entire circle. The formula for the area of a circle is πr², so the area of circle BB is π(9)² = 81π.

  3. We know that the area of the shaded sector is 9π. The fraction of the circle that the shaded sector represents is therefore 9π / 81π = 1/9.

  4. The circumference of the entire circle is 2πr = 2π(9) = 18π. The length of arc CED, which corresponds to the shaded sector, is therefore 1/9 of the total circumference, or (1/9) * 18π = 2π.

So, the length of arc CED is 2π.

This problem has been solved

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