Question

Two circles of equal radius 6cm such that the distance between their centres is 15cm, find the length of transverse common tangent.​

Answer 1

Answer:

12 cm is the answer. explanation given below.

Step-by-step explanation:

if d is the distance between the centres of two circles and r1 and r2 are the radii of the circles,

Then,

length of transverse common tangent

= √[d^2 − (r1+r2)^2]

Now,

we have,

r1 = 6 cm

r2 = 3 cm

d = 15 cm

so,

length of transverse common tangent

√[ (15)^2 − (6 + 3)^2]

=√[225 − 81]

=√144

=12 cm