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.
.
Find the area of the triangle :
Area of the triangle .
Triangle base is
and
.
.
.
Find the area of the region :
Area of the shaded region .
Apply the formula.
.
The area of sector of a circle with radius and central angle
,
.
.
.