Question

An official stands 2 meters from the edge of a discus circle and 3 meters from a point of tangency How far is the official from the center of the discus circle?

Answer 1

Answer: 3.25 m

Step-by-step explanation:

as a tangency and a radius make a right angle, we can use Pythagoras.

            c² = a² + b²

    (r + 2)² = r² + 3²

r² + 4r + 4 = r² + 9

            4r = 5

              r = 1.25 m

so the official is standing 1.25 + 2 = 3.25 m from the center of the circle

This makes sense as a standard discus throwing circle is 2.5 m dia.