the length of the tangent from an external point p to a circle of radius 5cm is 10cm the distance of the point from the centre of the circle is
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Answer:
5underoot5 cm
Step-by-step explanation:
First we apply Pythagoras theorem in triangle OAP then we find the value of length PO i.e distance of point from the centre and we get 5underoot5
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Given : length of the tangent from an external point p to a circle is 10 cm o and radius = 5 cm
To find : distance of the point from the centre of the circle
Explanation:
we know that the radius and the tangent arre perpendicular at their point of contact
in right triangle PTO
using the Pythagoras theorem
we have
PO²= OT² +TP²
PO² = 5²+10²
PO²= 25+100
PO²= 125
PO= √125 cm
hence , The distance of the point from the centre of the circle is √125 cm
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