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In the Following Figure, the Square Abcd is Divided into Five Equal Parts, All Having Same Area. the Central Part is Circular and the Ines Ae, Gc, Bf and Hd Lie Along the Diagonals Ac and Bd of Th - Mathematics

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प्रश्न

In the following figure, the square ABCD is divided into five equal parts, all having same area. The central part is circular and the ines AEGCBF and HD lie along the diagonals AC and BD of the square. If AB = 22 cm, find:

 the circumference of the central part.

 

योग

उत्तर

We have a square ABCD.

We have,

`AB=22 cm`

We have to find the perimeter of the triangle. We have a relation as,

Area of circular region=`1/5("Area of" ABCD)` 

So, 

`pir^2=1/5(22)^2`

`r=22/sqrt5pi`

`=5.56`

So perimeter of the circular region,

`=2pi r`

`=(22)22/7(22/sqrt(5pi))`

 

 

 

 

 

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अध्याय 13: Areas Related to Circles - Exercise 13.4 [पृष्ठ ५८]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 13 Areas Related to Circles
Exercise 13.4 | Q 17.1 | पृष्ठ ५८

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