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What is the formula to calculate the area of a sector?(a) \(\frac {x^{\circ }}{360^{\circ }}\) × πr^2(b) \(\frac {x^{\circ }}{360^{\circ }}\) + πr^2(c) \(\frac {x^{\circ }}{360^{\circ }}\) – πr^2(d) \(\frac {x^{\circ }}{360^{\circ }}\) × πr^3This question was posed to me by my college professor while I was bunking the class.This is a very interesting question from Area of Sector and Segment of a Circle in portion Area Related to Circles of Mathematics – Class 10

Answer»

Right choice is (a) \(\frac {x^{\circ }}{360^{\circ }}\) × πr^2

The explanation is: The area of the sector is \(\frac {x^{\circ }}{360^{\circ }}\) × πr^2

Where x° is the DEGREE MEASURE of the angle at the center and r is the radius of the CIRCLE.



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