Radius

Geometry Level 2

Find the radius of the circle in the diagram.


The answer is 160.25.

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1 solution

By the pythagorean theorem ,

R 2 = 5 0 2 + ( R 8 ) 2 R^2=50^2+(R-8)^2

R 2 = 2500 + R 2 16 R + 64 R^2=2500+R^2-16R+64

\large \implies R 2 R^2 cancels out

16 R = 2500 + 64 16R=2500+64

16 R = 2564 16R=2564

R = 160.25 R=160.25

Did it the same way

Aarush Priyankaj - 2 years, 9 months ago

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