Multiple choice

An arc of circle, with measure 18°, has a length 22 cm. Find the circumference of the circle.

  1. 420 cm

  2. 425 cm

  3. 440 cm

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Arc length = (theta / 360) * Circumference. 22 = (18 / 360) * C. 22 = (1 / 20) * C. C = 22 * 20 = 440 cm.

AI explanation

The circumference of a circle is the total length for 360 degrees, so we set up the proportion 18/360 = 22/Circumference. Solving for the circumference gives Circumference = (360/18) * 22, which equals 20 * 22. The circumference of the circle is 440 cm.

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