In the figure ,O is the centre of the circle and AP is a tangent
OA = 3 cm , OP = 5 cm .
a) What is the measure of < OAP ?
b) What is the length of the tangent PA ?
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Answer:
Two concentric circles with center O. OA is 5 cm and OB is 3 cm.
Join OP.
Now, in △OAP
∠OAP=90
∘
(Angles between radius and tangent)
OA
2
+AP
2
=OP
2
5
2
+12
2
=OP
2
OP=13 cm
In △OBP,
OB
2
+BP
2
=OP
2
3
2
+BP
2
=13
2
BP=
160
=4
10
cm
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