On the circle centered at the point with {1, -6} marked point A {10.6} find the radius of this circle.
| July 1, 2021 | education
The radius of a circle is equal to the distance from the center of this circle to any point taken on the circle. Thus, the length of the radius of the circle given by the condition will be equal to the length of the segment AC.
The distance between points A (x₁; y₁) and B (x₂; y₂) is calculated by the formula:
AB = √ ((x₁ – x₂) ² + (y₁ – y₂) ²).
Thus, the distance between points C (1; – 6) and A (10; 6) will be equal to:
AC = R = √ ((1 – 10) ² + (- 6 – 6) ²) = √ ((- 9) ² + (- 12) ²) = √ (81 + 144) = √225 = 15 (conditional units).
Answer: AC = R = 15 conventional units.
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