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Mathematics | Circles

Elements of a Circle Equation of Circle Family of Circles Orthogonality of Circles Position of a Point wrt Circle Tangents and Normals
Find the equation of a circle with centre at (a cos α, a sin α) and radius is of 'a' units ?
Find the equation of a circle, if the end points of the diameters are A (p, q) and B (r, s) ?
If two circles touch each other internally, the distance between their centers?
The equation of the circle whose two diameters are x = 2y and 2x + y = 0 and radius = 5 is
In the figure given below, square represents people who are singers, triangle represents actors and circle represents directors. Which set of letters represents people who are both singers and directors?
The tangent at a point C of a circle and diameter AB when extended intersect at D, if ∠DCA = 110°, then ∠CBA is equal to
When two circles intersect orthogonally – 
How many circles can be drawn passing through one given point?
What is the equation to circle which touches both the axes and radius is 5?
Numerical value of the perimeter and the area of a circle are equal. What will be the numerical value of the radius of the circle?
What do we call an Sixteen-sided polygon?
If a circle has its centre on (2, 3) and intersects another circle x2 + y2 + 4x - 8y + 16 = 0 orthogonally, then what will be the equation of the circle?
If circles x2 + y2 + 8x - 14y + p = 0 and x2 + y2 + 12x + 6y + q = 0 are orthogonal to each other, then what will be the value of 5p + 5q?
A circle with center (4, -5) is tangent to the y-axis in the standard (x, y) coordinate plane. What is the radius of this circle?
What is the radius of the circle touching X-axis at (3, 0) and Y-axis at (0, 3)?
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