The straight line KE touches the circle centered at the point O, K is the point of tangency
| April 29, 2021 | education
The straight line KE touches the circle centered at the point O, K is the point of tangency, find OE if KE is 8cm, and the radius of the circle is 7cm.
The segment OK is a segment drawn from the center of the circle to the point of tangency of the tangent KE, then this segment is perpendicular to the tangent KE, and then the angle OKE = 90, and the triangle OKE is rectangular.
Then, by the Pythagorean theorem, we determine the length of the hypotenuse OE.
OE ^ 2 = OK ^ 2 + KE ^ 2 = 7 ^ 2 + 8 ^ 2 = 49 + 64 = 113.
ОЕ = √113 cm.
Answer: The length of the segment OE is equal to √113 cm.
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