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- Now, see in triangle ACP»
- CR = r = AR (radius of the larger circle)
- Now, we can also write,
- From the figure, we can say CD = r, DB = rl
- To find AS, we need to apply Pythagora's theorem in triangle ABQ.
- Therefore, in triangle ABQ,
- AQ = BQ = rl (radius of the smaller circles)
- Therefore, AB = v/9r1
- Therefore, AB = r + rl(l + v")
- Applying Pythagoras theorem in triangle ACR,
- 2r2 = (r -F rl(1 -F
- r = rl(3 + 20)
- Now, sum of areas of 4 smaller circles = 41rr 2
- And, the area of the larger circle = Irr
- Therefore, the ratio of areas =
- 4Tr12
- 17 + 2v'2
- Using equation (1), we get the ratio of areas=4
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