ARC
In the given figure, find the perimeter
of Shaded region whise ADC, AEB and
BFC are semicircles on diameters
AB and BC respectively.
AC,
1.4cm
2.8 cm
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Answer:
13.2 cm
Step-by-step explanation:
Given:
Diameter of semicircle AEB= 2.8 cm
RADIUS OF SEMICIRCLE(AEB)= 2.8/2= 1.4 cm
Diameter of semicircle BFC=1.4 cm
RADIUS OF SEMICIRCLE(BFC)= 1.4/2= 0.7 cm
Diameter of semicircle ADC= 2.8+1.4 = 4.2 cm
RADIUS OF SEMICIRCLE(ADC) = 4.2/2= 2.1 cm.
Perimeter of the shaded region= sum of the arc of semicircle AEB, BFC and ADC= [π×1.4) +(π×0.7)+(π×2.1)] cm
= π(1.4+0.7+2.1) cm
=( 22/7) ×4.2
= 22× .6
= 13.2 cm
Hence, the perimeter of the shaded region is 13.2 cm
Hope this helps :)
Source: https://brainly.in/question/2195302
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