5272道题目5525 条题源记录 · 相同内容已合并
圆・圆的方程与切线挑战
A circle in the xy-plane has its center at （-4, -6）. Line k is tangent to this circle at the point （-7, -7）. What is the slope of line k?
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圆・圆的方程与切线挑战
A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees? (Disregard the degree symbol when entering your answer.)
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圆・圆的方程与切线挑战
In the xy-plane, the graph of 2x2 - 6x + 2y2 +2y = 45 is a circle. What is the radius of the circle?
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圆・圆的方程与切线挑战
The equation \( x^{2}+(y−1)^{2}=49 \) represents circle A. Circle B is obtained by shifting circle A down 2 units in the xy-plane. Which of the following equations represents circle B?
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圆・圆的方程与切线挑战
A circle has center O, and points A and B lie on the circle. The measure of arc AB is 45∘ and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?
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圆・圆的方程与切线挑战
(x -6)2 + (y +5)2 = 16
In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates \( \left(10,-5\right) \) . If \( PQ \) is a diameter of the circle, what are the coordinates of point Q ?
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圆・圆的方程与切线挑战
A circle in the xy-plane has its center at (-5, 2) and has a radius of 9. An equation of this circle is x2 + y2 + ax + by + c = 0, where a, b, and c are constants. What is the value of c ?
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圆・圆的方程与切线挑战
The equation x 2 + (y -2)2= 36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xy-plane. Which of the following equations represents circle B?
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圆・圆的方程与切线挑战
Points A and B lie on a circle with radius 1, and arc \( AB \) has length \( \frac{π}{3} \) . What fraction of the circumference of the circle is the length of arc \( AB \)?
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圆・圆的方程与切线挑战
The circle above has center O, the length of arc
is 5π, and x = 100 . What is the length of arc 
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圆・圆的方程与切线挑战
A circle in the xy-plane has equation (x +3)2 + (y -1)2 = 25. Which of the following points does NOT lie in the interior of the circle?
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圆・圆的方程与切线挑战
The graph of x2 + x + y2 + y = \( \frac{199}{2} \)in the xy-plane is a circle. What is the length of the circle’s radius?
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