Question

From a rectangular metal sheet of side 20cm by 30cm, a circular sheet as big as possible is cut. Find the area of the remaining sheet.​

Answer 1

Answer:

108.8

${cm}^{2}$

Step-by-step explanation:

SOLUTION:-

GIVEN:-

DIAMENSIONS OF RECTANGULAR SHEET

LENGTH=20CM

BREADTH=30CM

TO FIND:-

AREA OF RECTANGULAR SHEET LEFT AFTER A CIRCLE OF MAXIMUM AREA IS TAKEN OFF!

METHOD:-

see,let us firstly discuss the total area of rectangular sheet.

as dimensions are given.

Area of rectangular sheet= LxB

=>20x30

$600 {cm}^{2}$

NOW,

area of maximun circle without any conditions can be of maximum radiu of 10cm.

area of CIRCLE:-

$\pi {r}^{2}$

$= > \pi {r}^{2} \\ = > \frac{22}{7} \times 100 \\ = > 100\pi {cm}^{2}$

Now, we have git the area if circle as well rectangle!!

lets substract it as we have to find the left area of a rectangular sheet!!

$(600 - 100\pi) {cm}^{2} \\ = > 100(6 - \frac{22}{7} ) \\ = > 100 \times \frac{20}{7} \\ \\ = > \frac{720}{7} \\ \\ = > 102.8 {cm}^{2} \\ = > answer$

answer!!