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  • In figure 2, find the area of the shaded region, where ABCD is a square of side 14 cm in which four semi-circles of same radii are drawn as shown. (Take )

In figure 2, find the area of the shaded region, where ABCD is a square of side 14 cm in which four semi-circles of same radii are drawn as shown. (Take \pi = 3.14)

 

 

 

 
 
 
 
 

Answers (1)

\text{Area of square ABCD}=14 \times 14 =196 \; cm^2

\text{Diameter of each circle}=\frac{14-6}{2}\; cm =4 \; cm

\text{Radius of each circle}={2}\; cm

\text{Area of one circle}=\pi r^2

                                       =\frac{22}{7}\times {2}^2

                                        =\frac{88}{7} \ cm^2 

\text{Area of inner square}=4^2=16 \; cm^2

\text{Area of shaded region}= \text{Area of square ABCD}-\text{Area of four circles + Area of inner square }

                                                =(196-12-\frac{88}{7})\;cm^2

\text{Area of shaded region}= 171.42\; cm^2                                                

Posted by

Ravindra Pindel

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