Question

In the following figure, point A is the centre d'
the circle. Line MN is tangent at point M. I
AN = 12 om and MN = 6cm, determine the
radius of the circle.​

Answer 1

Step-by-step explanation:

In ΔAMN, m∠AMN=90

∘

∴AN

2

=AM

2

+MN

2

(By Pythagoras theorem)

Given AN=10cm,MN=6cm

∴10

2

=AM

2

+5

2

⇒AM

2

=10

2

−5

2

⇒AM

2

=100−25

⇒AM

2

=75

⇒AM=

75

⇒AM=

25×3

⇒AM=5

3

Thus the radius of the circle is 5

3

cm. This method please use your efforts this will make you brilliant by doing yourself