Two circles of equal radius 6 cm such that the distance between their centres is 15 cm, find the length of transverse common tangent.
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Two circles of equal radius 6 cm such that the distance between their centres is 15 cm, find the length of transverse common tangent.
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Answer:
75 cm....................
Answer:
12cm
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