# 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):

- 346.5cm
^{2} - 100 cm
^{2} - 693cm
^{2} - 512.25 cm
^{2}

**Answer: (1) 346.5 cm ^{2}**

**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.