Math Is Fun Forum
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
You are not logged in.
- Topics: Active | Unanswered
#1 2011-03-03 16:16:17
- shivusuja
- Member
- Registered: 2006-09-14
- Posts: 56
circles
A circle Inscribed in a square of side 4 Cm and another circle is
circumscribing the sqare . prove that the area of the outer circle is
twice the area of the inner circle
Offline
#2 2011-03-03 16:29:10
- gAr
- Member
- Registered: 2011-01-09
- Posts: 3,482
Re: circles
Hi,
For inscribed circle, diameter length is the length of the side of the square. (Area1 = π*2² )
For circumcribed circle, diameter length is the length of the diagonal of the square.(Area2 = π*(2*√ 2)² )
Therefore, Area2:Area1 = 2:1
"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?
"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."
Offline