5272道题目5525 条题源记录 · 相同内容已合并
圆・圆的方程与切线进阶
\( \left(x+4\right)^2+\left(y-19\right)^2=121 \)
The graph of the given equation is a circle in the \( xy \)-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a?
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圆・圆的方程与切线挑战
In the xy-plane, a circle has center C with coordinates (h, k). Points A and B lie on the circle. Point A has coordinates \( (h+1,k+\surd 102), \)and ∠ACB is a right angle. what is the length of \( AB \) ?
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圆・圆的方程与切线进阶
Circle A (shown) is defined by the equation \( \left(x+2\right)^2+y^2=9 \) . Circle B (not shown) is the result of shifting circle A down 6 units and increasing the radius so that the radius of circle B is 2 times the radius of circle A. Which equation defines circle B?
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圆・圆的方程与切线挑战
A circle has center G, and points M and N lie on the circle. Line segments MH and NH are tangent to the circle at points M and N, respectively, If the radius of the circle is 168 millimeters and the perimeter of quadrilateral GMHN is 3,856 millimeters, what is the distance, in millimeters, between points G and H?
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圆・圆的方程与切线进阶
A circle in the xy-plane has the equation \( \left(x-13\right)^2+\left(y-k\right)^2=64 \). Which of the following gives the center of the circle and its radius?
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圆・圆的方程与切线进阶
A circle has a radius of 2.1 inches. The area of the circle is bπ square inches, where b is a constant. What is the value of b?
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圆・圆的方程与切线进阶
A circle in the xy-plane has a diameter with endpoints (2, 4) and (2, 14). An equation of this circle is \( \left(x-2\right)^2+\left(y-9\right)^2=r^2 \) , where r is a positive constant. What is the value of r?
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圆・圆的方程与切线基础
The circle shown has center \( O \), circumference 144π, and diameters \( PR \) and \( QS \). The length of arc \( PS \) is twice the length of arc \( PQ \). What is the length of arc \( QR \)?
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圆・圆的方程与切线挑战
What is the diameter of the circle in the xy-plane with equation \( \left(x-5\right)^2+\left(y-3\right)^2=16 \) ?
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圆・圆的方程与切线进阶
Circle \( K \) has a radius of 4 millimeters (mm). Circle \( L \) has an area of 100π mm². What is the total area, in mm², of circles \( K \) and \( L \)?
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圆・圆的方程与切线挑战
Circle \( A \) has a radius of 3n and circle \( B \) has a radius of 129n, where n is a positive constant. The area of circle \( B \) is how many times the area of circle \( A \) ?
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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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