Question

Find the diameter of Oo. A line that appears to be tangent is tangent. If your answer is not a whole

number, round to the nearest tenth.

Answer 1

Diameter = 9

Explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

Diameter = 9