Multiple choice

Find the length of the arc when central angle is 45° and radius of the circle is 28 cm.

  1. 11 cm

  2. 33 cm

  3. 44 cm

  4. 22 cm
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D Correct answer
Explanation

Arc length = (theta/360) * 2 * pi * r. Arc length = (45/360) * 2 * (22/7) * 28 = (1/8) * 2 * 22 * 4 = 22 cm.

AI explanation

Using the arc length formula, l equals theta divided by 360 multiplied by 2 times pi times r. Substituting the given values, l equals 45 divided by 360 multiplied by 2 multiplied by 22 divided by 7 multiplied by 28. Simplifying this expression, l equals one eighth of 176, which is 22 cm.

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