Question

APB and CQD are semicircles of diameter 7cm each,while ARC and BSD are semicircles of diameter 14cm each find the perimeter of shaded portion.​

Answer 1

Answer:

Step-by-step explanation:

Given:

Diameter of semicircle APB & CQD = 7 cm

Diameter of semicircle ARC & BSD = 14 cm

From the given figure We have,

FOR SEMICIRCLE ARC:

Diameter AC =14 cm

Radius for semicircle ARC = 14/2= 7 cm

FOR SEMICIRCLE APB

Diameter AB=7 cm

Radius for semicircle AB = 7/2 cm

FOR SEMICIRCLE BSD

Diameter BD =14 cm

Radius for semicircle BD = 14/2= 7 cm

FOR SEMICIRCLE CQD

Diameter CD=7 cm

Radius for semicircle CD = 7/2 cm

PERIMETER OF CIRCLE = πr

Perimeter of the shaded region= Perimeters of semicircle (ARC + APB + BSD + CQD)

Perimeter of the shaded region= π×7 + π ×7/2 +π×7 + π ×7/2

= π(7+7/2+7/7/2)

= π(14+ 7/2+7/2) = π( 14 +7)

= 22/7 × 21

= 22 × 3 = 66 cm

Hence, the Perimeter of the shaded region is 66 cm.

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