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Ilya [14]
3 years ago
7

Discs of a radius 4cm are cut from a rectangular plastic sheet of length 84cm and width 24 cm

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer: 40

Step-by-step explanation:

Given

Radius of disc r=4\ cm

The dimension of the sheet is 84\times 24\ cm^2

Area of a single disc

\Rightarrow a=\pi r^2=\frac{22}{7}\times 4^2\\\\\Rightarrow a=\frac{352}{7}\ cm^2

Area of sheet

\Rightarrow A=84\times 24=2016\ cm^2

No. of discs that can be cut off the sheet are

\Rightarrow n=\dfrac{A}{a}=\dfrac{2016}{\frac{352}{7}}=\dfrac{2016\times7}{352}\\\Rightarrow n\approx 40

The total area of the disc is

\Rightarrow na=40\times\frac{352}{7}=2011.428\ cm^2

Sheet wasted

\Rightarrow A-na=2016-2011.428=4.57\ cm^2

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