From a point Q, 13 cm away from the centre of a circle, the length of the tangent PQ to the circle is 12 cm. The radius of the circle (in cm)is
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length of the tangent Ll=12cm
length of the line from the centre =13cm
let radius of circle =r
we can draw a right triangle Using the given value
applying pythaguras theorem P l\
13cm l \
l \ 12cm
l \ Q
R ------
r
PR^2+RQ^2=PQ^2
RQ^2=169-144
RQ=root of 25
RQ=5cm.
length of the line from the centre =13cm
let radius of circle =r
we can draw a right triangle Using the given value
applying pythaguras theorem P l\
13cm l \
l \ 12cm
l \ Q
R ------
r
PR^2+RQ^2=PQ^2
RQ^2=169-144
RQ=root of 25
RQ=5cm.
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The answer is 5 vm hope it helpful
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