Answer:
The area of the shaded sector is
Step-by-step explanation:
I assume that the problem is
Find the area of the shaded sector of the circle with radius equal to 16 units
step 1
Find the value of x
we know that
-----> by complete circle
The central angle of the shaded sector is 2x
step 2
Find the area of the circle
The area of the circle is equal to
we have
substitute
step 3
Find the area of the shaded sector
we know that
A central angle of 360 degrees subtends an area of circle equal to
so
by proportion
Find the area of the shaded sector by a central angle of 72 degrees