Have a circle with a radius of 1. Split the circle into 4 equal quadrants. Inside 1, draw a circle that touches both radius and the circle arc. How do I calculate the radius of smaller circle ?
Cheers
Have a circle with a radius of 1. Split the circle into 4 equal quadrants. Inside 1, draw a circle that touches both radius and the circle arc. How do I calculate the radius of smaller circle ?
Cheers
1. Draw a sketch! (see attachment)
2. You've got 2 right triangles. The larger one has the hypotenuse
And, remarkably, those two answers are the same!
Starting with earboth's result, , multiply both numerator and denominator by 2 to get . Now, "rationalize" the denominator by multiplying both numerator and denominator by :