Need to prove the area of sector of a circle with radius and central angle .
The circle equation is .
Find the in terms of .
Observe the figure: triangle is right angle triangle.
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Find the area of the triangle :
Area of the triangle .
Triangle base is and .
.
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Find the area of the region :
Area of the shaded region .
Apply the formula.
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The area of sector of a circle with radius and central angle , .
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