Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to find the area of a circle, given that its diameter is 8 cm. The answer must be r...
AreaCircleRadiusDiameterApproximationRounding
2025/5/6
We are given a quadrilateral QRST inscribed in a circle U. The angles are given as $Q = 79^\circ$, $...
CircleQuadrilateralInscribedAnglesSupplementary AnglesAlgebra
2025/5/6
In circle J, the measure of minor arc $HK$ is given as $58^{\circ}$. We need to find the measure of ...
CircleInscribed AngleArc MeasureAngle Measurement
2025/5/6
Quadrilateral $RSTU$ is circumscribed around circle $J$. The perimeter of quadrilateral $RSTU$ is 50...
GeometryTangentsQuadrilateralsPerimeterCircles
2025/5/6
We are given a triangle $JKL$ that is circumscribed around a circle $Q$. We are given the lengths $K...
TriangleCircleTangentPerimeter
2025/5/6
The problem states that a triangle is circumscribed about a circle. We are given two side lengths of...
TriangleCircleTangentPerimeterGeometric Proof
2025/5/6
We are given that $\overline{ED}$ and $\overline{EF}$ are tangent to circle $C$ at points $D$ and $F...
CircleTangentSegment LengthAlgebraic Manipulation
2025/5/6
The problem asks us to find the value of $x$, given that segments $NL$ and $NM$ are tangent to the c...
Tangents to a CircleAlgebraic EquationsSolving for x
2025/5/6
We are given a circle with center $A$ and radius $x$. A line segment $\overline{BC}$ is tangent to t...
CircleTangentPythagorean TheoremRight Triangle
2025/5/6
We are given a circle with center H. JK is tangent to the circle at J. We are given HJ = 14 and JK =...
CircleTangentPythagorean TheoremRight Triangle
2025/5/6