Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

In the given figure, PS is the diameter of a circle of length 6 cm. Q and R are the points on the diameter such that PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters. Find the perimeter of the shaded portion.
Asked by Topperlearning User | 27 Jul, 2017, 01:50: PM
answered-by-expert Expert Answer

 begin mathsize 12px style Since space PS space equals space 6 space cm space and space PQ space equals space QR space equals space RS
rightwards double arrow space PQ space equals space QR space equals space RS space equals space 6 over 3 equals space 2 space cm space and space QS space equals space QR space plus space RS space equals space 4 space cm
Perimeter space of space the space shaded space portion
equals space semi minus circular space arc space with space PS space as space diameter space plus space semi minus circular space arc space with space PQ space as space diameter
space space space space space space plus space semi minus circular space arc space with space QS space as space diameter
equals straight pi space cross times space PS over 2 space plus space straight pi space cross times PQ over 2 space plus space straight pi space cross times QS over 2
equals straight pi space open parentheses 3 space plus space 1 plus space 2 close parentheses
equals 22 over 7 space cross times space 6 space
equals 18 6 over 7 space cm
Hence comma space perimeter space of space the space shaded space portion space is space 18 6 over 7 space cm. end style

 

 

 

Answered by | 27 Jul, 2017, 03:50: PM
CBSE 10 - Maths
Asked by Trisha Gupta | 07 Oct, 2021, 03:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sohamsuryawanshi7824 | 22 Sep, 2020, 06:29: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kibaisato00 | 04 Jul, 2020, 11:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vedantsagrawal23 | 01 Aug, 2019, 06:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×