Respuesta:
[tex]A=40.4 km^{2}[/tex]
Explicación paso a paso:
[tex]Area_{PTQ} =\frac{\pi *r^{2} }{4} \\Area_{PTQ} =\frac{\pi *6^{2} }{4} \\Area_{PTQ} =\frac{36 \pi }{4} \\\pi =3.14\\Area_{PTQ} =9 \pi =28.26 km^{2} \\[/tex]
[tex]Area_{QRST} = \frac{\pi *r^{2} }{4} +l^{2} +\frac{\pi *r^{2} }{4} \\Area_{QRST} = \frac{\pi *4^{2} }{4} +2^{2} +\frac{\pi *2^{2} }{4} \\Area_{QRST} = \frac{\pi *16 }{4} +4 +\frac{\pi *4}{4} \\Area_{QRST} = \frac{16\pi }{4} +4 +\frac{4\pi}{4} \\Area_{QRST} = 4\pi +4 +\pi\\Area_{QRST} = 5\pi +4 \\Area_{QRST} = 8.14 +4 \\Area_{QRST} = 12.14 km^{2} \\[/tex]
[tex]Area total= 28.26 km^{2} +12.14 km^{2} =40.4 km^{2}[/tex]
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Respuesta:
[tex]A=40.4 km^{2}[/tex]
Explicación paso a paso:
[tex]Area_{PTQ} =\frac{\pi *r^{2} }{4} \\Area_{PTQ} =\frac{\pi *6^{2} }{4} \\Area_{PTQ} =\frac{36 \pi }{4} \\\pi =3.14\\Area_{PTQ} =9 \pi =28.26 km^{2} \\[/tex]
[tex]Area_{QRST} = \frac{\pi *r^{2} }{4} +l^{2} +\frac{\pi *r^{2} }{4} \\Area_{QRST} = \frac{\pi *4^{2} }{4} +2^{2} +\frac{\pi *2^{2} }{4} \\Area_{QRST} = \frac{\pi *16 }{4} +4 +\frac{\pi *4}{4} \\Area_{QRST} = \frac{16\pi }{4} +4 +\frac{4\pi}{4} \\Area_{QRST} = 4\pi +4 +\pi\\Area_{QRST} = 5\pi +4 \\Area_{QRST} = 8.14 +4 \\Area_{QRST} = 12.14 km^{2} \\[/tex]
[tex]Area total= 28.26 km^{2} +12.14 km^{2} =40.4 km^{2}[/tex]