Answer:
The area of the sector is
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
we have
----> the radius is half the diameter
substitute
step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of subtends a central angle of
so
by proportion
Let
x----> the area of the sector
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
So, the required distance is 225.16 feet.