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P in the Following Figure, Abcd is a Rectangle, Having Ab = 20 Cm and Bc = 14 Cm. Two Sectors of 180° Have Been Cut Off. Calculate: the Length of the Boundary of the Shaded Region. - Mathematics

Sum

In the following figure, ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. Calculate:

 the  length of the boundary of the shaded region.

 

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Solution

Now we will find length of the boundary of the shaded region.

`∴ "Length of the boundary the shaded region"=2pi r+AB+DC`

`∴ "Length of the boundary the shaded region"=2xx22/7xx7+20+20`

`∴ "Length of the boundary the shaded region"=2xx22+40`

`∴ "Length of the boundary the shaded region"=44+40`

`∴ "Length of the boundary the shaded region"=84`

Therefore, length of the boundary of the shaded region is `84 cm` 

 

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.4 | Q 16.2
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