Question

the shaded area of the following figure is 146 centimetre square. what is the area of the region where the circle overlap? (take π=3.14)​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Area of the circle overlapped region is 72 $cm^{2}$.

Given

To find the area of the region overlapped.

"x" be the area of the region overlapped,

                       ( i.e., )   x = ?

Shaded area = 146 $cm^{2}$

Length of rectangle = 35 $cm^{2}$

Breadth of rectangle = 20 $cm^{2}$

Radius ( r ) = 10

Formula :     Area of rectangle = length × breadth

                                            = 35 × 20

                                            = 700

                   Area of 2 circles = Area of rectangle - Area of shaded region

                                                 = 700 - 146

                                                 = 554

                   Area of 2 circles = ( 2 × $\pi$ × $r^{2}$ ) - x

                                554         = ( 2 × 3.14 × 10 × 10 ) - x

                                554         = 628 - x

                              554 - 628 = - x

                                 - 72 = - x  

                                    x = 72

    Therefore, the area of the region where the circle overlapped is 72 $cm^{2}$.

To learn more...

the shaded area of the following figure is 146 centimetre square. what is the area of the region where the circle overlap? (take π=3.14)​

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