The tangent to a circle from a point outside the circle measures 15cm. The distance of the point from the centre is 12cm. The radius of the circle is

10cm

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8cm

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11cm

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12cm

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Solution

The correct option is C
11cm

The length of the tangent is given as 15cm. The distance of the point from the centre of the circle is given as 12cm. So by Pythagoras theorem,

$(12)^{2} + (r)^{2} = (15)^{2}$ .

$r^{2} = 225 - 144 = 121$

r =11cm.

Hence, the radius was found out to be 11cm.

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The tangent to a circle from a point outside the circle measures 15cm. The distance of the point from the centre is 12cm. The radius of the circle is

The correct option is C 11cm The length of the tangent is given as 15cm. The distance of the point from the centre of the circle is given as 12cm. So by Pythagoras theorem, (12)2+(r)2=(15)2. r2=225−144=121 r =11cm. Hence, the radius was found out to be 11cm.

The correct option is C
11cm

The length of the tangent is given as 15cm. The distance of the point from the centre of the circle is given as 12cm. So by Pythagoras theorem,

$(12)^{2} + (r)^{2} = (15)^{2}$ .

$r^{2} = 225 - 144 = 121$

r =11cm.

Hence, the radius was found out to be 11cm.