# Radius of an arch and Pythagoras theorem

A door of width 6 meter has an arch above it having a height of 2 meter. Find the radius of the arch I analysed the problem to calculate the radius of curvature and I could not establish the relation between radius and height. Please someone help me to solve this using Pythagoras theorem on right angled triangle

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Hint: Draw a picture
The radius of the arch is $r=2+h$

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How can I calculate the value of h –  Achari S Ganesha Jul 8 at 18:36
Is h=1.25cm and r=3.25cm –  Achari S Ganesha Jul 8 at 18:47
That is close. The units of the problem are meters, not centimeters. –  Ross Millikan Jul 8 at 19:45
If you extend the vertical line into a diameter, then you have $2 \times (2r-2) = 3 \times 3$ by power of a point. –  Hao Ye Jul 9 at 7:39