Question

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Answer 1

Question:

A square of side 80 cm, had patterns in circles of diameter 15 cm laid out each touching the other. Find the area of the square not covered by the circles.

Answer:

• The area of the square not covered by the circles = 6223.3 cm².

Given :

• Side of the square = 80 cm

• Diameter of the circle = 15 cm.

To find :

• The area of the square not covered by the circles = ?

Step-by-step explanation:

Side of the square = 80 cm [Given]

Diameter of the circle = 15 cm [Given]

So, Radius = Diameter /2

Substituting the values, we get,

= 15/2

= 7.5 cm

So, Radius = 7.5 cm

Now,

We have to find the area of the square not covered by the circles,

We know that,

Area of the square = side²

Area of circle = πr²

So, the area of the square not covered by the circles = Area of square - Area of circle.

Substituting the values in the above formula, we get,

= 80² - 22/7 × (7.5)²

= 80 × 80 - 3.14 × 7.5 × 7.5

= 6400 - 176.7

= 6223.3.

Therefore, the area of the square not covered by the circles = 6223.3 cm².