The radius of the circle centered on O is 16. Find the chord AB if AOB = 90 degrees.
| June 19, 2021 | education
The problem can be solved in two ways.
1 way. Chord AB is the hypotenuse of the right-angled isosceles triangle AOB, the legs of which are 16, since they are also the radii of the circle. We find the length AB by the Pythagorean theorem
Method 2. We find the length of the chord AB using the special formula l = 2Rsin (α / 2)
In both the first and second cases, the length AB = 16√2
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