Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a cyclic quadrilateral $ABCD$ inscribed in a circle. The angles are given as follows: $...
Cyclic QuadrilateralAnglesSupplementary AnglesCircle Geometry
2025/3/28
Determine whether the point $(6, 0)$ is on, inside, or outside the circle defined by the equation $(...
CirclesCoordinate GeometryDistance Formula
2025/3/28
The equation of a circle is given as $(x - 5)^2 + (y - 1)^2 = 9$. We want to determine if the point...
CircleCoordinate GeometryPoint-in-CircleDistance Formula
2025/3/28
The problem asks for the equation of a circle given its graph. From the graph, we can identify the c...
CirclesCoordinate GeometryEquations of CirclesGraph Interpretation
2025/3/28
We are given the equation of a circle $(x+3)^2 + y^2 = 49$ and asked to find the coordinates of the ...
CircleEquation of a CircleCoordinate GeometryCenter of a Circle
2025/3/28
The problem asks to find the radius of a circle given its equation $(x + 2)^2 + y^2 = 20$.
CircleEquation of a CircleRadiusSimplifying Radicals
2025/3/28
The problem asks to find the center of a circle given its equation $x^2 + y^2 = 100$.
CirclesCoordinate GeometryEquation of a Circle
2025/3/28
The problem asks us to find the equation of the circle shown in the graph.
CirclesCoordinate GeometryEquation of a CircleGraphs
2025/3/28
The problem asks for the center of a circle with the given equation $(x - 5)^2 + (y + 8)^2 = 36$.
CirclesCoordinate GeometryEquation of a Circle
2025/3/28
The problem asks to find the radius of a circle given its equation in the form $(x-h)^2 + (y-k)^2 = ...
CircleEquation of a CircleRadius
2025/3/28