Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a diagram with points X, Y, O and North, East, West, South directions. We are given tha...
GeometryAnglesBearingsTrianglesTrigonometry
2025/4/29
We are given a circle with center O. We are given the angle POR is $56^\circ$. We are asked to find...
CirclesAnglesInscribed Angle Theorem
2025/4/29
We are given a rectangle with a semi-circle cut out. We need to find the area of the remaining regio...
Area CalculationRectangleSemi-circleGeometric ShapesSubtractionApproximation of Pi
2025/4/29
The problem asks us to calculate the total surface area of a right rectangular pyramid given its net...
Surface AreaPyramidNetTriangleRectangle
2025/4/29
We are given that $\angle ROS = 66^\circ$ and $\angle POQ = 3x$. We are also told that some constru...
AnglesAngle BisectorGeometric Proof
2025/4/29
In the given diagram, $GI$ is a tangent to the circle at point $H$. We are given that $EF$ is parall...
GeometryCirclesTangentsAnglesParallel LinesTangent-Chord Theorem
2025/4/29
The problem states that in the diagram, $EF = 8$ cm, $FG = x$ cm, and $GH = (x+2)$ cm. Also, $\angle...
Triangle AreaAlgebraGeometric ShapesEquation Solving
2025/4/29
The problem asks how many times a man needs to run around a circular track of diameter 100m to cover...
CircumferenceCircleWord ProblemApproximation
2025/4/29
In the given diagram, $O$ is the center of the circle. We are given that $\angle SQR = 60^{\circ}$, ...
CirclesAnglesInscribed AnglesCentral AnglesQuadrilaterals
2025/4/29
The sum of the exterior angles of a convex n-sided polygon is half the sum of its interior angles. W...
PolygonsExterior AnglesInterior AnglesConvex PolygonsAngle Sum Formula
2025/4/29