Find the area of the shaded region.
Round to the nearest tenth.

The area of the shaded region is 11.606 square centimeters.

Step-by-step explanation:

The area of the shaded region is obtained by subtracting the area of the triangle from the area of the circular section. The area of the triangle (), in square centimeters, can be calculated by the Heron's formula:

(1)

(2)

Where:

, , - Lengths of the sides of the triangle, in centimeters.

- Semiperimeter, in centimeters.

If we know that and , then the area of the triangle is:

And the area of the circular section (), in square centimeters, is determined by the following formula:

(3)

Where:

- Radius of the circle, in centimeters.

- Internal angle, in sexagesimal degrees.

If we know that and , then the area of the circular section is:

Finally, the area of the shaded region (), in square centimeters, is:

(4)

The area of the shaded region is 11.606 square centimeters.

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