is a circle of radius 7cm tangent LM is drawn from a point L such that LM =24 if 0 is the centre of the circle then length of OL is
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Answer:
Length of OL is 25 cm
Step-by-step explanation:
Given: OM = radius = 7 cm
LM = tangent = 24 cm
To find: Length of OL
In Δ OML
∠OML = 90° ——— [ Any tangent of a circle is perpendicular
to the radius at point of contact ]
∴ In Δ OML , ∠OML = 90°
OL² = OM² + LM² ———— [ By Pythagoras Theorem ]
OL² = 7² + 24²
OL² = 49 + 576
OL² = 625
OL = √625
OL = 25 cm
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