Question 52

The distance between the centres of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:

Solution

Given, distance between centres of the circles ($$d$$) = 17 cm

Radius of the two circles ($$r_1$$, $$r_2$$) = 4 cm

$$\therefore\ $$Length of the tranverse commom tangent = $$\sqrt{d^2-\left(r_1+r_2\right)^2}$$

$$=\sqrt{17^2-\left(4+4\right)^2}$$

$$=\sqrt{289-64}$$

$$=\sqrt{225}$$

$$=15$$ cm

Hence, the correct answer is Option D

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