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?
1 answer:
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.
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