Unit circle radius is .
The line segment is tangent to the circle and
is acute.
(a) Find the area of in terms of
and
.
Apply the formula for area of the triangle is .
Substitute and
.
.
The area of the is
.
(b) Find the area of in terms of
and
.
Apply the formula for area of the triangle is .
Area of is
.
Consider in
triangle.
.
Substitute and
in
.
.
Area of is
.
(c)
\The area of sector is
.
.
(a) The area of the is
.
(b) Area of is
.
(c) .