The area of a sector of a circle is given by the equation cap A is equal to the fraction with numerator pi r squared cap s and denominator 360 , where r is the radius of the circle and cap s is the angle measure of the sector. If Mia solved this equation for cap s , which of the following equations did she write?
Answer
A
360 cap A minus pi r squared
B
the fraction with numerator 360 plus cap A and denominator pi r squared
C
360 cap A plus pi r squared
D
the fraction with numerator 360 cap A and denominator pi r squared
Explanation
Start with A = (πr²s)/360. Multiply both sides by 360, then divide both sides by πr² to isolate s: s = 360A/(πr²). This matches the equation in choice D.
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