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a circle of radius 7 cm is cut from a square of side 14 cm find the area that is waste​

Sagot :

Answer:-

In the square

  • Side=14cm

[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]

[tex]\\ \sf\longmapsto Area_{(Square)}=(14)^2[/tex]

[tex]\\ \sf\longmapsto Area_{(Square)}=196cm^2[/tex]

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In the circle

  • Radius=r=7cm

[tex]\boxed{\sf Area_{(circle)}=\pi r^2}[/tex]

[tex]\\ \sf\longmapsto Area_{(Circle)}=\dfrac{22}{7}\times 7^2 [/tex]

[tex]\\ \sf\longmapsto Area_{(Circle)}=22\times 7[/tex]

[tex]\\ \sf\longmapsto Area_{(Circle)}=154cm^2[/tex]

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[tex]\\ \sf\longmapsto Area_{(Waste)}=Area_{(Square)}-Area_{(Circle)}[/tex]

[tex]\\ \sf\longmapsto Area_{(Waste)}=196-154[/tex]

[tex]\\ \sf\longmapsto Area_{(Waste)}=42cm^2[/tex]