SOLUTION: Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degrees (dont substitute the numerical value of PIE) THANKS! :D

Algebra ->  Pythagorean-theorem -> SOLUTION: Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degrees (dont substitute the numerical value of PIE) THANKS! :D      Log On


   

Question 774400: Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degrees
(dont substitute the numerical value of PIE)
THANKS! :D
Found 2 solutions by DrBeeee, lwsshak3:
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = the area of the whole circle
Let S = the area of the shaded portion
(1) A+=+pi%2Ar%5E2 or
(2) A+=+100%2Api
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
(3) S = (45/360)*A or
(4) S+=+%281%2F8%29%2A%28100%2Api%29 or
(5) S+=+12.5%2Api
Answer: The shaded area is 12.5%2Api+cm%5E2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degrees
***
Total area of given circle=π*radius^2=π*10^2=100π cm^2
area of the shaded segment=(45/360)*100π=12.5π cm^2