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NIACL Model Paper 10 with solutions for free online practice
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© examsnet.com
Question : 40
Total: 100
Area of circle is equal to the area of a rectangle having perimeter of 50cms. and length more than the breadth by 3 cms. What is the diameter of the circle?
7 cms.
21 cms.
28 cms.
14 cms.
None of these
Validate
Solution:
(4) Let the breadth of the rectanglebe x cms
∴ Length = (x + 3) cms.
Now, 2(x + x + 3) = 50
=> 2x+ 3 = 25
=> 2x= 22
⇒
x
=
22
2
=
11
∴Breadth = 11cms.
and length = x + 3 = 11 +3 = 14 cms.
∴ Area of circle = Area of rectangle
⇒
π
r
2
=
14
×
11
⇒
r
2
=
14
×
11
×
7
22
=> r = 7 cms.
∴ Diameter = 14 cms.
© examsnet.com
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