Question

How many semi circles of diameter 10 units can be drawn in a square of side 40 units without overlap?

Answer 1

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Answer 2

Approximately 40 Semicircles could fit inside the Square without overlapping.

Step-by-step explanation:

Given:

Diameter of semicircle = 10 units

Side of square = 40 units

We need to find the how many semicircles can be drawn in a square.

First we will find the area of semicircles.

Diameter = 10 units

So radius = $\frac{Diameter}{2} = \frac{10}{2}= 5 \ units$

Area Of Semicircles = $\frac{1}{2}\pi r2$

Substituting the value of 'r' we get;

Area Of Semicircles = $\frac{1}{2}\pi \times 5^2 = 39.25 \ units^2$

Now we will find the area of square;

Area of Square = $side^2 = 40^2 = 1600\ units^2$

Number of semicircles to be fit inside the square can be calculated by dividing Area of Square with Area Of Semicircles  

framing in equation form we get;

Number of semicircles to be fit inside the square = $\frac{1600}{39.25} = 40.76$

Hence we can say Approximately 40 Semicircles could fit inside the Square without overlapping.