PT is a tangent to a circle whose centre is O. If PT = 12 cm and PO = 13 cm then find
teh radius of the circle.
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The radius of the circle is 5 cm.
Step-by-step explanation:
We are given
Pt = 12 cm
Po = 13 cm
To find:
The radius of the circle?
using Pythagoras theorem.
(PO)^2 = (PT)^2 + (OT)^2
(13)^2 = (12)^2 + (OT)^2
169 = 144 + (OT)^2
(OT)^2 = 169 - 144
(OT)^2 = 25
By taking square root on both sides.
OT = 5 cm
Hence the radius of the circle is 5 cm.
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