Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm , 4. 5 cm and the distance between their centres is 10 cm.

Question

Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm , 4. 5 cm and the distance between their centres is 10 cm. (A) 36 cm (B) 6 cm (C) 64 cm (D) 8 cm

Tardigrade Admin · Accepted Answer

Length of the transverse common tangent = √d2-(R+r)2

Q. Find the length of a transverse common tangent of the two circles whose radii are $3.5 c m, 4. 5 c m$ and the distance between their centres is $10 c m$ .

36 cm

6 cm

64 cm

8 cm

Length of the transverse common tangent $=$ $d^{2} - (R + r)^{2}$

Q. Find the length of a transverse common tangent of the two circles whose radii are 3.5cm,4.5cm and the distance between their centres is 10cm.