Find The Ratio of C1 and C2 ? if

Let C1 and C2 be the inscribed and circumscribed circles of a triangle with sides 3 cm, 4 cm and 5 cm.
q-135

  1. 16/25
  2. 4/25
  3. 9/25
  4. 9/16
Harsh Vardhan Professor Asked on 22nd August 2015 in Maths.
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1 Answer(s)

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Answer: (2) 4/25

Explanation:-
In the figure-

RE: Find The Ratio of C1 and C2 ? if


Triangle is a right triangle-

Therefore, the radius of big circle = 5/2
Then, R = 5/2
Radius of encircle or small circle = Area of the triangle/ semi perimeter
= 1 x 4 x 3 /6 x 2
= 1
Then, the ratio of the area of C1 and the area of C2 = 1^2/(5/2)^2
= 4/25
Hence, the answer is (2) 4/25.

Anurag Mishra Professor Answered on 28th August 2015.
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