Question

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​

Answer 1

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