Given the circle below with secant ( overline{P O N} ) and tangent ( overline{M N} ), find the length of ( overline{P O} ). Round to the nearest tenth if necessary.

Question

Accepted Answer

Step:1 ：Step 1: Apply the secant-tangent theorem: (M N^2 = P N cdot P O).Step:2 ：Step 2: Plug in given values: (12^2 = 20 cdot P O).Step:3 ：Step 3: Solve for (P O): (P O = frac{144}{20} = 7.2)

Answer

Step: 1 ：Step 1: Apply the secant-tangent theorem: (M N^2 = P N cdot P O).Step: 2 ：Step 2: Plug in given values: (12^2 = 20 cdot P O).Step: 3 ：Step 3: Solve for (P O): (P O = frac{144}{20} = 7.2)

Given the circle below with secant \( \overline{P O N} \) and tangent \( \overline{M N} \), find the length of \( \overline{P O} \). Round to the nearest tenth if necessary.

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