LBcoconuts
New Member
- Joined
- Jul 28, 2013
- Messages
- 7
- Gender
- Female
- HSC
- 2014
Hi Guys,
Can someone please help me with this max/min problem?
A square of side 2x and a circle of variable radius r, where r < x, have a common centre. In each corner of the square, a circle is constructed so that it touches two sides of the square and the centre circle. Find the value of r that minimises the sum of the areas of the five circles.
The answer is: (4x/41).sqrt(2).(7-2sqrt(2)).
Thanks!
Can someone please help me with this max/min problem?
A square of side 2x and a circle of variable radius r, where r < x, have a common centre. In each corner of the square, a circle is constructed so that it touches two sides of the square and the centre circle. Find the value of r that minimises the sum of the areas of the five circles.
The answer is: (4x/41).sqrt(2).(7-2sqrt(2)).
Thanks!