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The sector of a circle with a 60-millimeter radius has a central angle measure of 30° . What is the exact area of the sector in terms of ​ π ​? Enter your answer in the box. mm2

Respuesta :

area of sector  =  1/2 x r^2  where x = angle in radians
30 degrees = pi/6 radians

So the are = 1/2 * 1/6 * 60^2 * pi  =  300pi  sq mms.

Area of sector =300  π  mm²

what is Area of sector?

Area of a sector which is: A=(θ/360∘) × π × r², where A is the area, r is the radius and θ is the angle of sector.

Given that:

radius= 60 mm

θ =  30°

Now,

Area of sector  =  (θ/360∘) × π × r²

                         = (30/360) *  π * (60)²

                         = (1/12)*  π * (60)²

                        = 300  π  mm²

Thus, Area of sector =300  π  mm²

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