a line p in tangent to a circle of radius 7cm. find the distance between the centre and line p
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Step-by-step explanation:
Since tangent at a point on a circle is perpendicular to the radius through the point. Therefore, OP is perpendicular to PQ.
In right triangle OPQ, we have
OQ
2
=OP
2
+PQ
2
⇒OQ
2
=7
2
+24
2
⇒OQ
2
=49+576
⇒OQ
2
=625
⇒OQ=25 cm.
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