Question

20m wire is required to encircle a flower bed in circular section what is the maximum area in sq m

Answer 1

Here,
The length of the wire = 20m
It is encircled to form a circle flower bed

So the perimeter of the flower bed = 20m
And the formula to find the perimeter = 2pier
So,

2pier = 20
$2\pi\: r = 20$
$2 \times 22 \div 7 \times r = 20$
$r = 7 \times 20 \div 2 \div 22$
$r = 3.18$
So,
We got r = 3.18

So,
Area = pier²
$\pi {r}^{2} = area$
$22 \div 7 \times 3.18$
$9.99$
If we round off it is 10m

So the area = 10m²

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