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R=7.4
Perimeter of the shaded region=3πr/2=47 (given)
R=47*7/2*22
r=7.477cm
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See the attachment.
Perimeter of shaded region = R + R + [ (3/4) × 2πR ]
= 2R + (6/4) πR
= 2R + 1.5π R
= R( 2 + 1.5π)
= (2 + 1.5π) R
= (2 + 1.5 × 22/7 ) R
= (2 + 33/7 ) R
= {(14 + 33)/7 }R
= 47/7 R
Given that 47/7 R = 47
=> R = 47 × 7/47
=> R = 7cm
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