Question

The largest possibly circle has been cut from a piece of paper.what is the area of the remaining area . caculate the area of just one side of the remaining paper.use 3.14 for the value of pi.

Answer 1

22/7 was considered while choosing the square's side length, the area of just one side of the remaining paper which is a multiple of 7.

Calculate the area of just one side of the remaining paper. use 3.14 for the value of pi.

Since the largest circle that can be encircled by a square has a diameter "d" equal to its side length, we may use "d" to conveniently calculate both the square's area and the circle's area.

The largest possibly circle has been cut from a piece of paper.

Square’s area = $d^2$

Circle’s area =ᴨ$d^2/4$

Simplifying-

(divide both area by $d^2$) we find their ratio is 1:(ᴨ/4) or 4/ᴨ (square: circle), and the inverse, ᴨ/4 circle: square.

Therefore diameter of circle =14 cm.

Hence area of circle=πr2.

If you use 22/7 as an approximation for ᴨ, the circle’s area 22/28 of the square’s, the square’s area is 28/22 of the circle’s , it follows that the area outside the circle is (28–22)/28 of the square’s area, which is (28–22)/28 x 14 x14,

or 6/28 x 14 x 14,

or 3/14 x 14 x 14,

or 42 square inches or-

(4-ᴨ)/4 x 14 x 14

22/7, It's a rather accurate estimate.

22/7 was considered while choosing the square's side length, which is a multiple of 7.

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