Multiple choice

A sector is cut from a circle of radius 21 cm. If the length of the arc of the sector is 55 cm, then what is the area of the sector?

  1. 577.5 cm2

  2. 612.5 cm2

  3. 705.5 cm2

  4. 725.5 cm2
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A Correct answer
Explanation

Area of a sector = (1/2) * arc_length * radius. Area = (1/2) * 55 * 21 = 577.5 cm^2.

AI explanation

The area of a sector can be found directly using the formula: area equals one half multiplied by the radius multiplied by the arc length. Substituting the given values gives 0.5 times 21 times 55. This results in an area of 577.5 square cm.

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