Assessment and Learning in Knowledge Spaces (ALEKS) 2025 – 400 Free Practice Questions to Pass the Exam

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What is the area of a sector represented as?

2πr²

x°/360 times (πr²)

The area of a sector of a circle is calculated using the formula derived from the proportion of the angle of the sector to the full circle, which is 360 degrees. The complete area of a circle is expressed as πr², where r represents the radius. When you want to find the area of a sector that corresponds to a specific angle x degrees, you need to determine what fraction of the total circle this angle represents and then apply that fraction to the total area of the circle.

This fraction is x/360, representing the part of the total angle that the sector occupies. To find the area of the sector, you multiply this fraction by the total area of the circle:

Area of the sector = (x/360) * (πr²).

Thus, the correct representation of the area of a sector is indeed x°/360 times (πr²). The other options describe different mathematical interpretations but do not accurately capture the formula for the area of a sector.

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(2πr)/360

(πr)/2

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