Consider circle T with radius 24 in. and θ = StartFraction 5 pi Over 6 EndFraction radians. Circle T is shown. Line segments S T and V T are radii with lengths of 24 inches. Angle S T V is theta. What is the length of minor arc SV? 20π in. 28π in. 40π in. 63π in.

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Answer:

20 pi

Step-by-step explanation:

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The length of minor arc SV is calculated as: 20π inches.

What is the Length of a Arc?

Length of arc (S) = r∅, where r is the radius of the circle and ∅ is the central angle in radians.

Given:

  • ∅ = 5π/6
  • r = 24 inches

Plug in the values

Length of minor arc SV = 24 × 5π/6

= 4 × 5π

= 20π

Thus, the length of minor arc SV is calculated as: 20π inches.

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