Math, asked by utkarsh4462, 7 hours ago

Q.Find the area of the shaded region. [All the circles shown in the figure are congruent]​

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Answers

Answered by isha00333
1

Given: all the circles are congruent. side of each square is 10.

To find: area of the shaded region

Solution:

Note that, diameter of the circle=10.

Therefore, the radius of the circle =\frac{d}{2}

                                                        =\frac{10}{2}\\=5

Understand that from the question that, the circle are congruent.

Find the area of region (I+II+III+IV).

area of the region (I+II+III+IV) = 2\times area of the square ABCD - area of the

                                                     four semicircles.

                                                \[ = 2\left( {10 \times 10} \right) - \left( {4 \times \frac{1}{2} \times \frac{{22}}{7} \times 5 \times 5} \right)\]

                                                 \[ = 200 - \frac{{44 \times 25}}{7}\]

                                                 \[\begin{array}{l} = 200 - 157.14\\ = 42.85\end{array}\]

Find the area of the shaded region.

Area of the shaded region =100-42.85

                                            =57.14

Hence, the area of the shaded region is 57.14.

                                           

                                                         

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Answered by vandanadigarse
0

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