If AC=16 and BC=13 what is the radius

Question

asked Aug 15, 2021 49.5k views

1 Answer

Kosnik · Answer 1 · 2021-08-20T14:07:12+0000

Answer:

Radius AB = 9.3 units

Explanation:

Given:

BC (tangent) make right angle with radius AB.

AC = 16 units

BC = 13 units

Find:

Radius AB = ?

Computation:

Using Pythagoras theorem:

$Hypotenuse^2 = Perpendicular^2 +Base^2\\\\AB =√(AC^2 -BC^2)\\\\ AB =√(16^2 -13^2)\\\\AB =√(256 -169)\\\\AB =√(87)\\\\AB =9.327$

Radius AB = 9.3 units