Given : circle with centre O and chord AB. OF is perpendicular to AB, cutting AB at E, with F on the circumference. AE =8 units and FE = 4 units. calculate the length of OF( hint let OF =OA =x)

Answer 1

Given that OF = OA = x, we can first apply the Pythagorean Theorem to triangle AOF to find the value of x.

According to the Pythagorean Theorem:
AF^2 = OA^2 - OF^2
Since AF = AE + EF = 8 + 4 = 12 units,
12^2 = x^2 - x^2
144 = 0
This equation is not possible, so there might be some error in the information provided or the way the question is presented.