Question

a carpenter cut circles of diameter 2 whole 1 upon 4 meter from an alloy sheet of dimensions 18 whole 1 upon 3 metre and 2 whole 1 upon 4 metre calculate how many complete circles can be cut​

Answer 1

Answer:

The number of complete circles are 2

Step-by-step explanation:

Given :

Diameter of circle = D = (2 whole 1 upon 4) meter  = (9/4) m

Radius of circle = D / 2 = (9/4) / 2 = (9/8) m

Length of sheet = (18 whole 1 upon 3) meter = (55/3) m

Breath of sheet = (2 whole 1 upon 4) meter = (9/4) m

We know that

         Area of cirlce = 2 π r²  

             Area of cirlce = 2 π (9/8)² m²  

                                      = (81/32) π m²

              And

Area of sheet =  (55/3) * (9/4) m² = (165/4) m²

Ratio in areas of sheet to circle = (165/4) ÷ 2 π (81/32) = 2.5936

So the number of complete cirles can be cut from sheet = 2

The number of circles are 2