What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in?

1 Answer
Jul 14, 2015

Answer:

I found: Surface: #S=25# in^2

Explanation:

The area #S# of your "slice" is:
#S=1/2r^2theta#
where:
#r=10/2=5# in is the radius
#theta# is the angle in radians formed by your slice.
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You can find the angle remembering that the arc length #l# is:
#l=rtheta#
so that #theta=10/5=2rad#
finally:
Surface: #S=1/2(5^2)*2=25# in^2