What will be the Perimeter of a Sheet? If

The perimeter of a sheet of paper in the shape of a quadrant of a circle is 75 cm. Its area would be (pi = 22/7):

  1. 346.5cm2
  2. 100 cm2
  3. 693cm2
  4. 512.25 cm2
Monis Rasool Professor Asked on 8th July 2015 in Maths.
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1 Answer(s)

Answer: (1) 346.5 cm2
Explanation:-
Perimeter of quadrant  of a circle = 75 cm
Then, the perimeter of a quadrant = 2pie r/4 + 2r

2 pie r /4 + 2r = 75
= ( 2 pie r + 4x2r)/4 = 75
= 2 pie r + 8r = 75 x 4
= 2 x 22/7 x r + 8r = 300                                                 ( pie = 22/7)
= 44r + 56r = 300 x 7
100r = 2100
r = 21 cm
Now, the area of this quaderant = 1/4 x pie r square
= 1/4 x 22/7 x 21 x 21
= 346.5 cm square.
Hence, the answer is (1) 346.5 cm suare.

Anurag Mishra Professor Answered on 8th July 2015.
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