Question

2.27 A circle of radius 2cm touches a circle of xadius
loom internally. Delermine the length of a Fangent
segment draws throug the centre of a larger
Circle to the smaller Circle. with diagram
​

Answer 1

Answer:

4 √2

Step-by-step explanation:

Given two cicrcles with centers C1 and C2 of radii 2 cm and 3 cm touch internally .

the LONGEST chord AB of circle with center C2 must be a tangent to the circle with center C1.

from the figure, clearly the length of line segment C1C2 is 1 cm.

⟹AB=2×x

frompythagorastheorem,

x=

3

2

−1

2

=

9−1

=

8

=2

2

⟹AB=2x

⟹AB=2×2

2

⟹AB=4 √2