Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to find the indicated measures in three different circle diagrams. a) Find $m\angle...
Circle GeometryAngles in CirclesArcsInscribed AnglesCentral AnglesSecantsChords
2025/5/9
Find the measure of angle 1, denoted as $m\angle 1$. We are given that the arc $AC$ has a measure of...
Circle GeometryAngles in a CircleIntersecting ChordsArc Measure
2025/5/9
The problem asks to complete a table for spheres given some information such as radius, surface area...
SphereSurface AreaVolumeCircumferenceRadius3D Geometry
2025/5/9
The problem asks to calculate the surface area of a Dyson Sphere with a radius of $1.5 \times 10^8$ ...
Surface AreaSphereScientific NotationProblem Solving
2025/5/9
The problem describes a Dyson Sphere, a hypothetical structure completely enclosing the sun. We are ...
Surface AreaVolumeSphereApproximationUnits Conversion
2025/5/9
We are given a circle with two secants intersecting at point $P$ outside the circle. We are given $m...
CirclesSecantsAnglesArcs
2025/5/9
We are given a circle with a tangent line $TP$ and a secant line $RP$. We are given the measure of a...
CirclesTangentsSecantsAnglesArcs
2025/5/9
We are given a circle with an angle $VYX$ formed by two secants intersecting outside the circle. The...
Circle GeometryAngles in a CircleSecantsIntercepted Arcs
2025/5/9
The problem asks us to find the measure of arc $ST$ given that $m \angle PUR = 31^\circ$ and $m \sta...
CircleArcsAnglesSecants
2025/5/9
We are given a circle with two secants intersecting outside the circle. We are given the measures of...
CirclesSecantsAnglesIntercepted Arcs
2025/5/9