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Answer:
Therefore the circumference of the circle is
Step-by-step explanation:
Let the side of the square be s
and the radius of the circle be r
The perimeter of the square is = 4s
The circumference of the circle is =2πr
Given that the length of the wire is 20 cm.
According to the problem,
4s + 2πr =20
⇒2s+πr =10
The area of the circle is = πr²
The area of the square is = s²
A represent the total area of the square and circle.
A=πr²+s²
Putting the value of s
For maximum or minimum
Differentiating with respect to r
Again differentiating with respect to r
> 0
For maximum or minimum
Therefore at , A is minimum.
Therefore the circumference of the circle is