Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
A rectangle $PQRS$ with length $20$ cm and width $10+10 = 20$ cm has a square of side $x$ cm cut out...
AreaRectangleSquareGeometric Shapes
2025/5/8
We are given the coordinates of the vertices of a quadrilateral MATH: $M(-1, 7)$, $A(3, 5)$, $T(2, -...
Coordinate GeometryQuadrilateralsTrapezoidsSlopeParallel Lines
2025/5/8
The problem describes a rectangle $PQRS$ from which a square of side $x$ cm has been cut. The dimens...
AreaRectangleSquareGeometric ShapesAlgebraic Equations
2025/5/8
The problem asks to find the radius of a circle given a central angle of $\frac{4\pi}{3}$ radians an...
CircleArc LengthRadianGeometry
2025/5/7
The problem seems to involve finding the area of triangle $ABC$. The given information appears to be...
Area of a TriangleTrigonometryGeometric Formulas
2025/5/7
The problem asks for the equation of a circle centered at the origin $(0, 0)$ that passes through th...
Circle EquationCoordinate GeometryRadiusOrigin
2025/5/7
The problem asks to find the equation of a circle given its graph. We can identify two points on the...
CirclesEquation of a CircleCoordinate GeometryDistance Formula
2025/5/7
The problem asks us to write the equation of a circle with center $(-4, -6)$ and diameter 8. The giv...
Circle EquationGeometryCoordinate GeometryRadius and Diameter
2025/5/7
The problem asks to find the equation of a circle with center $(-2, 5)$ and radius $8$.
Circle EquationCoordinate Geometry
2025/5/7
The problem asks for the equation of a circle centered at the origin $(0, 0)$ with a radius of 12.
CirclesEquation of a CircleCoordinate Geometry
2025/5/7