Question

Froma sheet of paper of dimensions 2m× 1.5m, how many circle of radius 5 cm can be cut? also find the area of the paper wasted take π=3.14

Answer 1

$\huge{\bold{\underline{\underline{Question:}}}}$

◾️From a sheet of paper of dimensions 2m× 1.5m, how many circle of radius 5 cm can be cut? also find the area of the paper wasted take π=3.14.

$\huge{\bold{\underline{\underline{Answer}}}}$

$\large{\bold{\boxed{\red{3\:circles\:can\:be\:cut.}}}}$

$\large{\bold{\boxed{\red{Remaining\:sheet\:will\:be\:0.0081m.}}}}$

$\rule{400}4$

$\large{\bold{\underline{Explanation:}}}$

Given:

◾️Dimensions of The Sheet i.e.2m×1.5m.

◾️Radius of the circle i.e. 5cm

To find:

◾️Circles can be cut from the sheet.

Solution:

$\bold{Area\:of\:rectangle\:=\:L\:×\:B}$

$\bold{Area\:of\:the\:sheet\:=\:2m\:×\:1.5m}$

$\bold{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:3m}$

$\implies$$\bold{3×100=\:300m}$

$\bold{Now,\:Area\:of\:the\:circle\:=\pi r^{2}}$

$\bold{Area\:of\:the\:circle\:=\:3.14×5×5}$

$\implies$ $\bold{78.57}$

$\implies$$\bold{No.\:of\:circles\:can\:be\:cut\:=\:300\:÷\:78.57}$

$\implies$ $\bold{3.81}$

$\bold{So,The\:numbers\:of\:circles\:can\:be}$ $\bold{from\:the\:sheet\:is\:3.}$

$\bold{And\:remaining\:sheet\:or\:the\:waste}$ $\bold{paper\:is\:0.81cm\:or\:0.0081m}$

[ Note: Always remember that The dimensions of the sheet of paper is given in metre and radius of the circle is given in centimetre. ]

$\rule{400}4$

Answer 2

300 Circles will be cut out and the remaining area of the sheet which wasted is 6450cm² is the correct answer

For solution refer to the attachment above

Solved by Jalaj Kr. (Nobilian) De nobili school