#Circle area

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fathom dune
# 
The radius in the circles are 5.
Find the red area.

Me and my friend found this question online, we didnt know what method is supposed to be used on it.
We chose to youse integration, but got different answers.
She says that mine is wrong, but i dont get it.

Firstly, i found the distance from vector SC to point B with pythagoras:
distance^2 + (5/2)^2 = 5^2 --> distance = 5(sqrt(3)/2)

Then i made two semicircle functions on the y-axis, letting the SC vector be the x-axis and found the integral between them:

image.png image.png
dapper plumeBOT
#
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