Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.
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the length of the median = 18 × sin 60 = 9√3
the remaining part of the diameter apart from the median = 9÷ √3 = 3√3
the length of diameter = 9√3 +3√3 = 12 √3
radius = diameter ÷ 2 = 6√3
area of circle = π × (6√3)^2 = 108π sq inches
the remaining part of the diameter apart from the median = 9÷ √3 = 3√3
the length of diameter = 9√3 +3√3 = 12 √3
radius = diameter ÷ 2 = 6√3
area of circle = π × (6√3)^2 = 108π sq inches
Answered by
13
see attachment,
answer will be 108π inch²
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