Question

Which has a larger area left out? Cutting 9 circles each of radius 7cm from a square of side 42 cm

Answer 1

Hey user, here is your answer...
___________________________________
Which has a larger area left out? Cutting 9 circles of radius 7cm from a square of side 42 cm.

Let us first find out the Areas of 9 circles,

Radius of each circle ( r ) = 7cm

Area of each circle,

= Pi( π ) x (Radius)^2

= π r^2

= 22 / 7 x ( 7 )^2

=22 / 7 x 7 x 7

= 22 x 7

= 154

So, the area of each circle is 154 cm^ 2.

Then, area of 9 circles is,
= 154 x 9

= 1386 cm^2

Now, let us find out the Area of the Square,

Side = 42 cm

Area of the Square,

= Side x Side

= 42 x 42

= 1806

So, the area of the square is 1806 cm^2.

Cutting the 9 circles means Subtracting the Area of the 9 circles from the Area of the Square.

We get,

1806 - 1386

= 420

Therefore, the 'Square' has a larger area left out by 420 cm^2.
___________________________________
Hope it helps.
Thanks for the question.