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26 Nov 2022, 00:45
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B
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Difficulty:
35%
(medium)
Question Stats:
73% (03:09) correct
27%
(03:49)
wrong
based on 26
sessions
History
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Not Attempted Yet
In the given figure, ∆ ABC is a right-angled triangle in which ∠ A is 90°. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region in square centimetres.
A) 5
B) 6
C) 8
D) 10
E) 12
Source: CBSE Question Bank
Attachment:
3A1C72EB-2DA9-42AF-8EF1-F473431D650C.jpeg [ 97.01 KiB | Viewed 1378 times ]
26 Nov 2022, 01:31
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Noida
We can find the area covered by each semi-circle.
Area of the shaded region = (Area of semicircle with AB as diameter + Area of semicircle with AC as diameter) - (Area of semicircle with BC as diameter - Area of the triangle)
The working is shown below.
Option B
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