Problem 1 A 5 cm diameter hole is drilled in a 45 cm by 24 cm flat, rectangular piece of material a) Find the area of the rectangular piece after the circular hole is removed. b…

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asked Sep 17, 2023 190k views

1 Answer

ButterDog · Answer 1 · 2023-09-22T21:37:12+0000

The area of the rectangular piece is given by side x side

then,

Rectangular area:

$45\operatorname{cm}*24\operatorname{cm}=1080\operatorname{cm}$

the hole surface area is given by

$\pi* r^2\text{ where r: radius}$
$r=(diameter)/(2)=\frac{5\operatorname{cm}}{2}=2,5\text{ cm}$
$Then\text{ hole area: 19,63 cm}^2$

a) The area of the recetangular piece after the circular is removed is

Rectangular area - hole area =

b) Percentage removed

$(19,63)/(1080)*100=1,8\text{ percent}$