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Line AB is tangent to circle C, AB= 4 inches, and AD = 2 inches. Find the radius of the circle.

Line AB is tangent to circle C, AB= 4 inches, and AD = 2 inches. Find the radius of the circle.
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Line AB is tangent to circle C, AB= 4 inches, and AD = 2 inches. Find the radius of the circle.

User Old McStopher
by
7.7k points

2 Answers

6 votes

Answer:

6

Explanation:

User Tfrascaroli
by
8.4k points
6 votes
Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6

Therefore, the radius of the circle is 6 inches.
User LowFatTwinkie
by
8.7k points
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