Question

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Answer 1

Answer:

area of square not covered by circle = 1984.375 cm2

Step-by-step explanation:

each circle of dia=15 cm are touching each other, so 5 circles touching each other can be in a row.

similarly 5 rows of this kind is possible.

Hence, 25 circles of 15 cm dia is possible within the square.

w.k.t, area of circle= πr2

therefore, area of 25 circles = 25 x π x (7.5)^2

hence area of 25 circles = 4415.625 cm2.

area of square = A2

= (80)^2

= 6400 cm2

hence the required area = area of square - area of circles

= 1984.375 cm2

Answer 2

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]

Now,

We know that,

Area of the square = side²

Substituting the values in the above formula, we get,

= 80²

= 80 × 80

= 6400.

Thus, The area of the square = 6400 cm²

Now,

We have to find the area of the circle,

Diameter of the circle = 15 cm

So, Radius = Diameter /2

Substituting the values, we get,

= 15/2

= 7.5 cm

So, Radius = 7.5 cm

We know that,

Area of circle = πr²

Substituting the values in the above formula, we get,

= 22/7 × (7.5)²

= 22/7 × 7.5 × 7.5

= 3.14 × 56.25

= 176. 7.

Thus, The Area of circle = 176.7 cm².

Now,

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

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,

= 6400 - 176.7

= 6223.3.

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