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In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region?
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In the figure APB and CQD are semicircles of diameter 7 cm each while ...
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.
I hope it's helpful for us......
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.
I hope it's helpful for us......
Community Answer
In the figure APB and CQD are semicircles of diameter 7 cm each while ...
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In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region?
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In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region?.
In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure APB and CQD are semicircles of diameter 7 cm each while ARC and BSD are semicircles of diameter 14 cm each find the perimeter of the shaded region?.
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