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SAT Math: Circles 03

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In the xy-plane above, B is the center of the circle, and the measure of \angle ABC is \dfrac{\pi}{a}. What is the value of a?

x^2 + y^2 +3x -4y =-4

The equation of a circle in the xy-plane is shown above. What is the radius of the circle?

In the circle above, segment \overline{XY} is a diameter. If the length of \widehat{XZY} is 12 \pi, what is the length of the radius?

In the figure above, the circle has center A and a radius of 7. If the length of arc \widehat{BC} (shown in bold) is between 7 and 8, what is one possible integer value of x?

In a circle with center B, central angle \angle ABC has a measurement of \dfrac{3 \pi}{2} radians. The area of the sector formed by central angle \angle ABC is what fraction of the area of the circle?

Which of the following is an equation of a circle in the xy-plane with center (3,2), and a radius with endpoint (4,6)?

 

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