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Step-by-step explanation:

Answer:

The area of a sector is [tex]A=299.98 \:mm^2[/tex].

Step-by-step explanation:

A sector is like a slice of the circle. It consists of a region bounded by two radii and an arc lying between the radii.

The area of a sector is a fraction of the area of the circle.

The graph below gives you the formula for the area of sector.

We know that the radius is [tex]r=25[/tex] and the central angle is [tex]\theta=50 ^o[/tex].

So, the area of the sector is

[tex]A=\frac{55}{360}\pi \left(25\right)^2=\frac{6875\pi }{72}\approx299.98 \:mm^2[/tex]

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