What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm? use 3.14 for π and round your answer to the nearest hundredth. enter your answer as a decimal in the box.

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is , where r is the radius and is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  = radians

So, area of sector=

=

=184.85 square mm

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