A women is taking a lesson in a circular swimming pool. she starts at one edge of the pool and swims for 12 meters in a straight line till hits the edge of the pool. she turns and swims another 5 meters and again hits the edge of the pool. she realizes that she is exactly on the opposite side of the pool where she started. what is the diameter of the pool ?

Question

I tried drawing a circle and plot the starting and the ending points and used the diameter formula but still did not work !!

thanks in advance..

Answer 1

I drew a triangle that 90 degree
and then applied this formula

square root (12^2+5^2)= 13

I don't know if it is right or not but still I can't prove it with the drawings.

Answer 2

you are correct. A right triangle inscribed in a circle has the diameter as its hypotenuse.

I don't know what you mean by "the diameter formula."