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Worksheet: Equation of a Circle
Q10:
Find the point of intersection between the line with equation and the circle with center and radius 13.
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Q11:
Determine the equation of a circle with radius , given that it touches the -axis at the point , and its center lies in the third quadrant.
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Q12:
Find the general form of the equation of circle , given that it touches the two coordinate axes at and and that .
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Q13:
What is the equation of the circle of radius 24 that lies in the third quadrant and is tangent to the two axes?
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Q14:
A circle is tangent to the -axis at and cuts a chord of length on the negative-axis. What is the equation of the circle?
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Q15:
Let us consider a circle of radius 4 and center .
Write the equation of the circle.
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The circle is dilated by a factor of 2. The center of dilation is the center of the circle. Write the equation of the circle.
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Q16:
Let us consider a circle of radius 6 and center .
Write the equation of the circle.
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The circle is dilated by a factor of . The center of dilation is the center of the circle. Write the equation of the circle.
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