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Ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6

Ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6
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Ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6

User Nathan Ostgard
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1 Answer

3 votes

Look at the picture.

We must use the Pythagorean theorem:


AB^2+OB^2=AO^2\\\\5^2+r^2=8.6^2\\\\25+r^2=73.96\qquad\text{subtract 25 from both sides]\\\\r^2=48.96\to r=√(48.96)\\\\\boxed{r\approx7}

Answer: The radius is equal 7.

Ab is tangent to circle o at b. find the length of the radius r fur ab=5 and ao=8.6-example-1
User Clarkeye
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8.3k points
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