Question

a rectangular sheet of ferulic is 40 cm and 30 cm from its 30 circular button each of diameter 3 cm have been cut out.find the area of remaining sheet​

Answer 1

$\Large\underline{\underline{\sf{Given}:}}$

• Length of rectangular sheet = 40cm
• Breadth of rectangular sheet = 30cm
• diameter of circular button = 3cm

$\large\boxed{\underline{\mathcal{\red{Q}\green{u}\pink{e}\orange{s}\blue{ti}\red{on.??}}}}$

• Find the area of remaining sheet ....

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

• Area of rectangular sheet = Length × Breadth
• Area of circle = πr²
• Radius of circle = (Diameter/2)
• π = 3.14
• Area of Remaining sheet = Area of Total Rectangular sheet - ( Area of 30 buttons)

$\Large\underline{\underline{\sf{Solution}:}}$

$\large\underline\textbf{Putting Values we get,,}$

→ Area of Rectangular sheet = 40 × 30 = $\large\boxed{\bold{1200cm^{2}}}$

______________________

Now,

Radius of circle = 3/2 = 1.5 cm

→ Area of circle = 3.14 × 1.5 × 1.5 = $\large\boxed{\bold{7.065cm^{2}}}$

So,

→ $\textbf{Area of 30 such circular buttons}$ = 30×7.065 = $\large\boxed{\bold{211.95cm^{2}}}$

________________________

$\textbf{Hence, Area of remaining sheet will be}$

$\red{\boxed\implies} \: = \pink{1200 - 211.95} \\ \\ \red{\boxed\implies} \: = \green{\large\boxed{\bold{988.805cm^{2} }}}$

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$\large\bold\star\underline\mathcal{Extra\:Brainly\:Knowledge:-}$

1) Each of the interior angles of a rectangle is 90°.

2) The diagonals of a rectangle bisect each other.

3) The opposite sides of a rectangle are parallel.

4) The opposite sides of a rectangle are equal.

5) A rectangle whose side lengths are a and b has area = a×b×sin90° = a×b

6) A rectangle whose side lengths are a a and b b has perimeter 2(a + b)...

7) The length of each diagonal of a rectangle whose side lengths are a and b is √(a²+b²) ..

$\large\underline\textbf{Hope it Helps You.}$