圓弧形的拱橋,已知橋高,跨度,求半徑

2010-02-06 7:17 am
A bridge with a circular arch. Its height is 4 m and its span is 48 m. Find the radius of this circular arch.
一道圓弧形的拱橋, 橋高4m 跨度為48m。求該圓弧的半徑。

(請附加過程..THX)

回答 (1)

2010-02-06 7:23 am
✔ 最佳答案
設圓弧的半徑 = r :
跨度中心到圓心 = r - 4
半跨度 = 48/2 = 24
得 r^2 = (r - 4)^2 + 24^2
r^2 = r^2 - 8r + 16 + 576
8r = 592
r = 74
該圓弧的半徑 = 74m


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