An eqilateral triangle that has an area of 9*(3^0.5) is inscribed in a circle. What is the area of the circle?
求最速算法!
圓形面積最速算法
2008-05-18 7:53 pm
回答 (1)
2008-05-18 8:16 pm
✔ 最佳答案
The area of an equilateral triangle with a circumscribed circle radius of R is3sqrt(3)R^2/4.
The area of the same circle is piR^2
The ratio of circle to equilateral triangle is thus 4pi/(3sqrt(3)
The area of the circumscribed circle is therefore
9sqrt(3)*4pi/(3sqrt(3))
=12pi
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