Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem describes a kitchen design scenario. The distance between the stove and the sink is 1.3 ...
Law of CosinesTrigonometryDistance Calculation
2025/5/14
The problem asks to find the slope of a line passing through the points $(-2, -3)$ and $(-1, 6)$.
Coordinate GeometrySlopeLines
2025/5/14
The problem asks us to find the gradient (slope) of a line given two points on the line: $(12, 72)$ ...
Coordinate GeometrySlopeGradientLinear Equations
2025/5/14
We are given a circle with an external point from which two tangent lines are drawn. We are given th...
Circle GeometryTangentsArcsAngles
2025/5/13
We are asked to find the length of an arc that has a $90$ degree central angle in a circle with a ra...
Arc LengthCirclesRadiansDegree ConversionTrigonometry
2025/5/13
The problem asks to solve for $x$ given the expressions for the measures of the angles in a quadrila...
Cyclic QuadrilateralAnglesAlgebraSolving Equations
2025/5/13
Segments $PR$ and $PS$ are tangent to the circle. The measure of $\angle RPS = 66^{\circ}$. We need ...
GeometryCirclesTangentsQuadrilateralsAngles
2025/5/13
We are given a circle with center P. $RQ$ is tangent to the circle at point $Q$. The measure of angl...
CirclesTangentsAnglesTriangles
2025/5/13
We are given a circle with center $Q$ and radius $QR = 15$. A line segment $RT$ is tangent to the ci...
CircleTangentPythagorean TheoremRight Triangle
2025/5/13
The problem asks for the perimeter of a polygon, given that one of its sides, $x$, is equal to 5. Th...
PerimeterPolygonsBasic Geometry
2025/5/13