In the figure, line TA is tangent at point T
LPAT = 30 and PA = 7.8 cm; then find PT and TA
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10th
Maths
Circles
Tangent to a Circle
In the figure, PT is a tang...
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Asked on December 30, 2019 by
Vanshika Shahi
In the figure, PT is a tangent to the circle with centre O. If PT=30 cm and diameter of the circle is 32 cm, then the length of line segment OP will be
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ANSWER
Given PT=30cm
OT is the radius of a cicle
therefore OT will be half of given diameter
OT = 16cm
∠OTP = 90
∘
(tangent is perpendicular to radius at point of contact)
now apply pythoguras theorem to
OP
2
=OT
2
+TP
2
OP
2
=16
2
+30
2
OP=
1156
OP=34
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