The area of the shaded region is
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector of circle of angle 68.9 degrees minus the area of the isosceles triangle
step 1
Find the area of sector of the circle
The area of circle is equal to
assume
substitute
Remember that the area of a circle subtends a central angle of 360 degrees
so
using proportion Find out the area of a sector with a central angle of 68.90 degrees
Let
x -----> the area of a sector
step 2
Find the area of the isosceles triangle
Applying the law of sines
The area is equal to
we have
substitute
step 3
Find the area of the shaded region
Round to the nearest tenth