Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem states that quadrilateral $ABCD$ is inscribed in a circle. The angles are given as follo...

GeometryCyclic QuadrilateralAngles in a CircleAlgebraSolving Equations

We are given a quadrilateral $ABCD$ inscribed in a circle. The side lengths are given as $AB = 6x$, ...

Cyclic QuadrilateralPtolemy's TheoremAlgebraic EquationsGeometric Properties

We are given a circle with inscribed triangle $YWX$. We know that $\angle YWX = (x+14)^\circ$ and $\...

TrianglesAnglesCircleInscribed Triangle

We are given a circle with center T. $PL$ and $KM$ are diameters of the circle. We need to find the ...

CircleAnglesArcsDiametersCentral Angle

We are given a circle with center $T$. $PL$ and $KM$ are diameters of circle $T$. We are given the m...

CircleArc MeasureDiameterAngles

The problem asks us to identify whether arc $JL$ is a major arc, a minor arc, or a semicircle, and t...

GeometryCirclesArcsAnglesCentral Angle

We are given a circle with center O and radius 4 ft. The measure of the central angle $AOB$ is $30^\...

CircleArc LengthRadiansGeometry

We are given a circle with center $O$ and radius $r = 6$ ft. The measure of angle $AOB$ is $30^\circ...

CirclesArc LengthAnglesCircumference

A snail starts at corner A of a regular pentagon and crawls clockwise a distance of $\frac{13}{20}$ ...

GeometryPerimeterPentagonFractionsClockwise Movement

Find the angle between the hour and minute hands at 19:20 (7:20 PM).

AnglesClocksTime

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