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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 Shtolik
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1 Answer

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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 Mrmagooey
by
8.4k points
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