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find the area of the shaded region.
round to the nearest tenth.


Find The Area Of The Shaded Region Round To The Nearest Tenth class=

Sagot :

The area of the shaded region is 294.4 square meters

How to find the area of the shaded region?

The given parameters are represented on the figure

By this;

The area of the shaded region is the sum of the area of the major sector and the area of the triangle

The area of the major sector is

A1= ∅/360 * πr²

The area of the triangle is

A2 = 0.5r²sin(x)

So, the total area is

Total = ∅/360 * πr² + 0.5r²sin(x)

This gives

Total = (360 - 130)/360 * 3.14 * 11.1^2 + 0.5 * 11.1^2 * sin(130 deg)

Evaluate

Total = 294.4

Hence, the area of the shaded region is 294.4 square meters

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