A "Slice"

Example 2:  Find the area of the shaded slice:

Solution:  The area of the shaded region can be found by subtracting the area of the triangle from the area of the sector:

The triangle consists of two 30-60-90 triangles, so its sides and altitude can be determined:

The area of the sector is 120/360 times 36π cm², or about 37.7 cm².  The area of the triangle is:

So the area of the desired slice is about 37.7 – 15.6 = 22.1 cm².

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