SOLUTION: A right triangle is inscribed in a circle such that one side of the triangle is the diameter of the circle. if one of the acute angles of the triangle measures 60 degrees and the s
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Question 939409: A right triangle is inscribed in a circle such that one side of the triangle is the diameter of the circle. if one of the acute angles of the triangle measures 60 degrees and the side opposite that angle has length 15, what is the area of the circle ? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A right triangle is inscribed in a circle such that one side of the triangle is the diameter of the circle.
if one of the acute angles of the triangle measures 60 degrees and the side opposite that angle has length 15, what is the area of the circle ?
:
Draw this out, see that the diameter is the hypotenuse (h) of the right triangle
Using the sine (side opposite/hypotenuse)
Sin(60) = 15/h
h =
h = 17.32
then
r = 17.32/2
r = 8.66 is the radius
therefore
A = 235.62 sq/units is the area of the circle
