SOLUTION: A circle has an inscribed right triangle having an altitude of 4 and an area of 28. What are the circumference and area of the circle? (inscribed means inside with vertex's touchin

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Question 38689: A circle has an inscribed right triangle having an altitude of 4 and an area of 28. What are the circumference and area of the circle? (inscribed means inside with vertex's touching the edge of the circle.)
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
THe hypotenuse of the triangle is the diameter of the circle.
Area=28
Altitube (base)=4
equation:
A=%281%2F2%29bh
We have to find h:
28%2F2=%281%2F2%29%2A4%2Ah
2h=14
h=7
Find the diameter of the circle using pythagoren theorem:
a%5E2%2Bb%5E2=c%5E2
4%5E2%2B7%5E2=c%5E2
d=8.1 (rounded)
Try to find the area and cirmuference by yourself using a=pi%2Ar%5E2 and c=pi%2Ad points given are diameter = 8.1 radius = 8.1/2
Paul.