有两块半圆形的草坪,它们的周长都是128.5m,这两块草坪总面积是多少?详细讲解。 街心公园有两块半圆形的草坪,它们的周长都是128.5米,这两...

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\u5373\uff1a3.14\u00d7d=128.5\uff0c\u5f97\u51fad=40.92m
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\u5219\uff1as=3.14\u00d7\uff0840.92\u00f72\uff09²\uff0c\u5f97\u51fas\u22481314m²
\u6240\u4ee5\uff0c\u4e24\u5757\u8349\u576a\u7684\u603b\u9762\u79ef\u662f1314m²\u3002
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\uff082\uff09\uff09\u5706\u7684\u8ba1\u7b97\u516c\u5f0f\uff1a
\u7ed9\u76f4\u5f84\u6c42\u5706\u7684\u5468\u957f\uff1ac=\u03c0d
\u7ed9\u534a\u5f84\u6c42\u5706\u7684\u5468\u957f\uff1ac=2\u03c0r
\u7ed9\u76f4\u5f84\u6c42\u5706\u7684\u534a\u5f84\uff1ar=d\u00f72
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\u7ed9\u534a\u5f84\u6c42\u5706\u7684\u76f4\u5f84\uff1ad=2r
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\u7ed9\u76f4\u5f84\u6c42\u534a\u5706\u5468\u957f\uff1ac=\u03c0r+d
\u7ed9\u534a\u5f84\u6c42\u534a\u5706\u5468\u957f\uff1ac=\u03c0r+2r
\u7ed9\u534a\u5f84\u6c42\u5706\u7684\u9762\u79ef\uff1as=\u03c0r²
\u7ed9\u76f4\u5f84\u6c42\u5706\u7684\u9762\u79ef\uff1as=\u03c0\uff08d\u00f72\uff09²
\u7ed9\u5468\u957f\u6c42\u5706\u7684\u9762\u79ef\uff1as=\u03c0\uff08c\u00f7\u03c0\u00f72\uff09²
\u7ed9\u534a\u5f84\u6c42\u534a\u5706\u9762\u79ef\uff1as=\u03c0r²\u00f72
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\u8fd9\u4e24\u5757\u8349\u576a\u7684\u603b\u9762\u79ef\u662f1962.5\u5e73\u65b9\u7c73\u3002
\u534a\u5f84\uff1a
128.5\u00f7\uff083.14+2\uff09\uff082\u03c0r/2+2r=128.5\uff0cr\u4e3a\u534a\u5f84\uff09
=128.5\u00f75.14
=25\u7c73
\u9762\u79ef\uff1a
3.14\u00d725²
=3.14\u00d7625
=1962.5\u5e73\u65b9\u7c73

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\u4e0e\u5706\u76f8\u5173\u7684\u516c\u5f0f\uff1a
1\u3001\u5706\u9762\u79ef\uff1aS=\u03c0r²\uff0cS=\u03c0(d/2)²\u3002\uff08d\u4e3a\u76f4\u5f84\uff0cr\u4e3a\u534a\u5f84\uff09\u3002
2\u3001\u534a\u5706\u7684\u9762\u79ef\uff1aS\u534a\u5706=(\u03c0r^2)/2\u3002\uff08r\u4e3a\u534a\u5f84\uff09\u3002
3\u3001\u5706\u7684\u5468\u957f\uff1aC=2\u03c0r\u6216c=\u03c0d\u3002\uff08d\u4e3a\u76f4\u5f84\uff0cr\u4e3a\u534a\u5f84\uff09\u3002
4\u3001\u534a\u5706\u7684\u5468\u957f\uff1ad+(\u03c0d)/2\u6216\u8005d+\u03c0r\u3002\uff08d\u4e3a\u76f4\u5f84\uff0cr\u4e3a\u534a\u5f84\uff09\u3002
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2\u3001\u5706\u5185\u89d2\u7684\u5ea6\u6570\u7b49\u4e8e\u8fd9\u4e2a\u89d2\u6240\u5bf9\u7684\u5f27\u7684\u5ea6\u6570\u4e4b\u548c\u7684\u4e00\u534a\u3002
3\u3001\u5706\u5916\u89d2\u7684\u5ea6\u6570\u7b49\u4e8e\u8fd9\u4e2a\u89d2\u6240\u622a\u4e24\u6bb5\u5f27\u7684\u5ea6\u6570\u4e4b\u5dee\u7684\u4e00\u534a\u3002
4\u3001\u5468\u957f\u76f8\u7b49\uff0c\u5706\u9762\u79ef\u6bd4\u6b63\u65b9\u5f62\u3001\u957f\u65b9\u5f62\u3001\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u5927\u3002
5\u3001\u5706\u662f\u8f74\u5bf9\u79f0\u56fe\u5f62\uff0c\u5176\u5bf9\u79f0\u8f74\u662f\u4efb\u610f\u4e00\u6761\u901a\u8fc7\u5706\u5fc3\u7684\u76f4\u7ebf\u3002\u5706\u4e5f\u662f\u4e2d\u5fc3\u5bf9\u79f0\u56fe\u5f62\uff0c\u5176\u5bf9\u79f0\u4e2d\u5fc3\u662f\u5706\u5fc3\u3002
\u5782\u5f84\u5b9a\u7406\uff1a\u5782\u76f4\u4e8e\u5f26\u7684\u76f4\u5f84\u5e73\u5206\u8fd9\u6761\u5f26\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u76842\u6761\u5f27\u3002
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6\u3001\u6709\u5173\u5706\u5468\u89d2\u548c\u5706\u5fc3\u89d2\u7684\u6027\u8d28\u548c\u5b9a\u7406
\u5728\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u5982\u679c\u4e24\u4e2a\u5706\u5fc3\u89d2\uff0c\u4e24\u4e2a\u5706\u5468\u89d2\uff0c\u4e24\u7ec4\u5f27\uff0c\u4e24\u6761\u5f26\uff0c\u4e24\u6761\u5f26\u5fc3\u8ddd\u4e2d\u6709\u4e00\u7ec4\u91cf\u76f8\u7b49\uff0c\u90a3\u4e48\u4ed6\u4eec\u6240\u5bf9\u5e94\u7684\u5176\u4f59\u5404\u7ec4\u91cf\u90fd\u5206\u522b\u76f8\u7b49\u3002

半径很好求 得到半径为25后,面积就是1962.5平方米
2个半圆相加的值是周长加4个半径,通过相等关系即可求得

解: 因为它们的周长=2兀R=128.5,所以R=128.5/2兀
面积=兀R²=兀(128.5/2兀)² ≈ 2629.34 m³

128.5除3.14除2

半径:128.5÷(3.14+2)=25米
圆周长的一半=圆周率×半径
直径=半径×2
因为半圆周长=圆周长的一半+直径
则半圆周长=圆周长的一半+直径=(圆周率+2)×半径

半圆面积:3.14×25²÷2=981.25平方米
两块草坪面积=981.25*2=1962.5平方米

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