conjusted circle

Geometry Level 1

the area of the circle that is inscribed in a right triangle with sides of length 8m, 15m, 17m is (n * pi). find n

6 9 15 18

Manish Mayank by Manish Mayank , 20, India

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3 solutions

Avis Jay Lorenzo
Apr 23, 2014

If you know the formula for the area of a circle which is pi*r^2. "n" should be a square number, and luckily looking for the choices. The answer should be 9. :)

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Radius = ab/(a+b+c) where neither a nor b are hypotenuse. Thus 8*15/(15+8+17) = 120/40 = 3. Thus Area of circle = (pi) r^2 = (pi) (3^2) = 9 (pi). Thus n = 9

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Theres one more way my friend if you carefully analyse the figure you could get that r=(a+b-c)/2

this gives the result much faster

Jibin Gopi - 7 years ago
Moshiur Mission
Apr 19, 2014

1/2 8r + 1/2 17r + 1/2 15r = 1/2 8*15 or r = 3 so n =r^2 = 9

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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