Question

draw a circle of radius 4cm . from the point 7cm away from its centre construct the pair of tangents​

Answer 1

Answer:

first draw a circle of radius 4 cm

then take a point A outside the circle which is 7 cm apart frim the centre

then join the point with the centre i.e.OA

make a perpendicular bisector of OA

B is the point of intersection of bisector

now by taking B as a centre draw another circle taking AB as radius

new circle will intersect to old circle in points P and Q

join AP and AQ and hence AP and AQ are tangents

Answer 2

HLO MATE

The measure of the length of the tangent to the circle from a point outside the circle is:

8√2 cm.

Step-by-step explanation:

The length of the tangent to the circle drawn from a point outside the circle could be calculated with the help of the Pythagorean Theorem.

As the tangent are perpendicular to the circle.

Hence, from the figure we have to find the length of side .AB and AC.

The hypotenuse of the right triangle is the line segment joining the outside point and the center of the circle.

Using Pythagorean theorem in ΔOBA we have:

i.e. AC

$ac ^{2} = ab ^{2} + bc ^{2}$

12^2=4^2+ab^2

AB^2=144-16

AB^2=128

AB=8√2

Similarly we can find the length of the tangent AC.

Hence, the measure of the tangent to the circle is:

8√2 cm.

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