Question

A rectangular sheet of acrylic is 36 CM by 24 cm from its 64 circular button each of diameter 3 cm have been cut out find the area of the remaining seat​

Answer 1

Answer:

Area of remaining sheet = 200cm²

Step-by-step-explaination:

Given

• A rectangular sheet of length 36cm and breadth 24 cm.

• 64 circular buttons are cut of diameter 3.5cm

To find :

• Area of remaining sheet of paper.

Procedure :

We know ,

Area of rectangle = Length × breadth

So ,

AREA of Rectangular acrylic sheet = 36 × 24 (cm²)

AREA of Rectangular acrylic sheet = 86 (cm²)

Buttons are obvious to be circular in shape.

We know that,

$\sf \implies \: Area \: of \: cirular \: button \: = (\pi \: {r}^{2} )$

we are given with a diameter of 3.5cm

Radius = 3.5 ÷ 2

Radius = 1.75cm

$\implies \sf \: Area \: of \: \red1 \: circle \: = \pi(1.75 {)}^{2}$

$\implies \sf \: Area \: of \: \red1 \: circle = \dfrac{22}{7} {(1.75)}^{2}$

$\implies \sf \: Area \: of \: \red1 \: circle = \dfrac{22}{7} (3.0625)$

$\implies \sf \: Area \: of \: \red1 \: circle = 9.25$

$\implies \sf \: Area \: of \: {\green{64}} \: circle {\green{s }}\: = 9.625 \times {\green{64}}$

$\implies \sf \: Area \: of \: {\green{64}} \: circle {\green{s }}\: = {616cm}^{2}$

Area of remaining sheet would obviously be = Area of whole sheet - Area of sheet that has been cut.

→ 816cm² - 616cm²

→ 200 cm² = Area of remaining sheet.