I. A circular carpet of diameter 1.4 m is spotted in the centre with a 20 cm striped border. Find the area of the striped portion of the carpet to the nearest cm.
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Answer:
Let 1.4 m=140 cm
Radius =
2
140
=70 cm
Extra strip is of diameter
=20 cm/2.
Radius =10 cm
∴ Radius for outer circle
=80 cm
Area of that path or strip
=
7
22
×R
2
−
7
22
×r
2
=
7
22
(R
2
−r
2
)
=
7
22
(80+70)(80−70)
=
7
22
×150 cm×10 cm
=
7
33000
cm
2
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