What is the area of a sector with a central angle of 2π/9 radians and a diameter of 20.6 mm? use 3.14 for π and round your answer to the nearest hundredth. enter your answer as a decimal in the box.
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37.03 sq. mm.

Step-by-step explanation:

A sector is "part" of a circle. The formula for area of a sector (in radians) is:

Area of sector =

Where

r is the radius (half of diameter)

 is the central angle of the sector

In this problem, the diameter is given as 20.6, so radius would be:

Radius (r) = 20.6/2 = 10.3

The central angle is given as   radians

Now, we substitute and find the value for the area:

Thus,

Area of sector = 37.03 sq. mm.

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step-by-step explanation:

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