Name: ____________________
Hour: _____ Date: ___/___/___
Geometry – Tangential Practice #2
1) Given: AB = 17, BC = 18, CD = 21 , find AD
B
A
C
D
2) Given: ON = 7, MN = 24, ∠N isarightangle,findOQ.
O
Q
P
M
R
3) Circle O has a radius of 8. Circle P has a radius of 3, OP = 13. Find the length of the
common internal tangent.
4) Circle A has a radius of 6. Circle B has a radius of 2, OP = 17. Find the length of the
common internal tangent.
N
5) The centers of two circles with radii 8 cm and 10 cm are 20 cm apart. Find the length of a
common external tangent. Round your answer to the nearest tenth.
6) The centers of two circles with radii 11 m and 9 m are 25 m apart. Find the length of a
common external tangent. Round your answer to the nearest tenth.
7) The centers of two circles with radii of 3 and 5 are 10 units apart. How much larger is the
common external tangent than the common internal tangent. Hint: Draw each case separately.
8) A circle is inscribed in a right triangle. Find the perimeter of the triangle if the radius of the
circle is 5 and the hypotenuse of the triangle has a length of 30.