Multiple choice

A central angle of 40° in a circle of radius 1 inch intercepts an arc whose length is s. Find s.

  1. 0.7

  2. 1.4

  3. 2

  4. 3

  5. 40
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A Correct answer
Explanation

Arc length s = r * theta (in radians). theta = 40 * (pi/180) = 2pi/9 radians. s = 1 * (2 * 3.14159 / 9) = 0.698, which rounds to 0.7.

AI explanation

Using the arc length formula s = (π * r * θ) / 180, we substitute r = 1 and θ = 40 to get s = 40π / 180. This simplifies to 2π / 9, which is approximately 6.28 / 9. The arc length s is approximately 0.7.

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