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In the Given Figure, Psr, Rtq and Paq Are Three Semicircles of Diameter 10 Cm, 3 Cm and 7 Cm Respectively. Find the Perimeter of Shaded Region. Use π= 3.14 - Mathematics

Sum

In the given figure, PSR, RTQ and PAQ are three semicircles of diameter 10 cm, 3 cm and 7 cm respectively. Find the perimeter of shaded region. [Use π= 3.14]

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Solution

Perimeter of shaded region = Length of the arc PAQ + Length of the arc PSR + Length of the arc RTQ

`=1/2xx2pi"r"_1 + 1/2 xx 2pi"r"_2 + 1/2xx 2pi"r"_3`

`=1/2xx2pi(7/2)+1/2xx2pi(10/2)+1/2xx2pi(3/2)`

`=7/2pi + 5pi + 3/2pi`

`=7/2pi+3/2pi+5pi`

=5π + 5π

= 10π

= 31.4 cm

Hence, the perimeter of shaded region is 31.4 cm.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 38 | Page 822
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