Using circle theorem, If MN has a length of π cm, the length of LM is π√3 cm
How to find the length of LM in the circle?
ΔMON = equilateral triangle.
Equilateral triangle has all its sides and angle equal to each other.
Therefore,
MN = π
Hence,
ON = MN = OM = π
ON = radius of the circle
Therefore,
LN = π+ π = 2π
Using circle theorem,
∠LMN = 90 degrees
Therefore, using Pythagoras theorem,
LM² = (2π)²- π²
LM² = 4π² - π²
LM = √3π²
LM = π√3 cm
learn more on circle theorem here: https://brainly.com/question/19906313
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