找到你今天要练的题。

In the figure shown, points \( A \), \( B \), \( C \), and \( E \) lie on the circle, and \( AB<BC \). Segment \( AC \) is perpendicular to segment \( BE \) at point \( D \), and \( BD=\sqrt{346} \). The diameter of the circle is 175. If \( \frac{CD}{AD}=r \), what is the value of r?

In the xy-plane, an equation of circle A is \( \left(x-2\right)^2+\left(y-3\right)^2=9 \). Circle B has the same center as circle A but has a radius that is twice the radius of circle A. Which equation represents circle B?

\( \left(x+3\right)^2+\left(y-19\right)^2=144 \) 
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?

What is the center of the circle in the xy-plane defined by the equation\( \left(x-4\right)^2+\left(y+3\right)^2=16 \) ?

Circle A in the xy-plane has the equation \( \left(x+9\right)^2+\left(y-9\right)^2=4 \) . Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is \( \left(x+9\right)^2+\left(y-9\right)^2=k \) , where k is a constant. What is the value of k?

Points A, B, and C lie on a circle with a radius of 15 inches. If the length of arc ABC is 5π inches, what is the length, in inches, of chord AC ?

A circle has diameters \( AC \)  and \( BD \) . The circumference of the circle is 84π, and the length of arc DA is 2 times the length of arc AB. What is the length of arc BC?

A circle is inscribed in a square such that the circumference of the circle touches the midpoint of each side of the square. The length of the diagonal of the square is 176 units. What is the area, in square units, of the circle?

x² - 4x + y² -12y -81 = 0
In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?

A circle has diameters \( AC \)  and \( BD \) . The circumference of the circle is 168π, and the length of arc DA is 3 times the length of arc AB. What is the length of arc BC?

In the xy-plane, circle M is the graph of the equation \( \left(x+8a\right)^2+\left(y-60a\right)^2=64a^2 \), where a is a positive constant. Circle V is obtained by shifting circle M 16a units to the right. Which equation represents circle V?

The perimeter of an equilateral triangle is 750 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is \( w\sqrt{3} \) centimeters. What is the value of w?