Question

a traingle has been cut out from a rectangular sheet of metal as shown in fig 12.36. find the area of the remaining metal ( shaded portion)​

Answer 1

Answer:

Let the center of circle be at O. AC is diagonal of square ABCD

AC=4  

2

​  

cm

we have AE=CF=1cm each

EF=AC−AE−CF

EF=4  

2

​  

−2

radius of circle =  

2

1

​  

EF=2  

2

​  

−1  

Area of shaded region = area (ABCD) − area of circel − 4\times area of each quadrant

=4×4−π×(2  

2

​  

−1)  

2

−4×  

4

1

​  

π(1)  

2

 

=16−π{(2  

2

​  

−1)  

2

+1}

=16−π{8+1−4  

2

​  

+1}

=16−(10−4  

2

​  

)π

=16−13.64439

Area =2.36cm  

2

 

Step-by-step explanation: