In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?
A. 3√3
B. 2√6
C. 4√2
D. 6√2
Answer: Option C
Solution (By Examveda Team)
n2 = 8 × 16
n2 = 128
n = 8$$\sqrt 2 $$
b = (8$$\sqrt 2 $$ + a)
a2 + (16)2 = b2
a2 + (16)2 = (8$$\sqrt 2 $$ + a)2
a2 + 256 = 128 + a2 + 16$$\sqrt 2 $$ a
128 = 16$$\sqrt 2 $$ a
a = $$\frac{8}{{\sqrt 2 }}$$
a = 4$$\sqrt 2 $$
This Question Belongs to Arithmetic Ability >> Geometry
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