Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The equation of a circle is given as $(x + 31)^2 + (y - 23)^2 = 63$. We need to find the length of t...

CirclesEquation of a CircleRadiusSquare RootApproximation
2025/5/13

The equation of a circle is given as $(x + 12)^2 + (y - 14)^2 = 50$. We need to find the y-coordinat...

CirclesCoordinate GeometryEquation of a Circle
2025/5/13

The problem asks to find the value of $x$ in each of the three figures, given that the segments that...

CirclesTangentsAnglesTrianglesQuadrilaterals
2025/5/13

The problem asks for the value of $x$, given a diagram with a circle centered at $O$, and a line $l$...

Circle GeometryRadiiTangents
2025/5/13

We are given a circle with center W. Two chords, YZ and UX, intersect at point V. We are given the f...

Circle GeometryChordsAngles in a CircleArc MeasureGeometric Proofs
2025/5/13

We are given a circle with a triangle inscribed in it. One angle of the triangle is given as $95^\ci...

TrianglesAnglesIsosceles TriangleCirclesInscribed Angle
2025/5/13

We are given a circle with certain properties and need to find specific measures. Problem 10: In cir...

CirclesChordsArcsGeometric TheoremsCircle Geometry
2025/5/13

The problem has two parts: 7. Calculate the arc length of two arcs given their radii and the central...

Arc LengthCirclesAnglesRadians
2025/5/13

The problem asks us to find the length of arcs CB and EB given the radius and the central angle subt...

Arc LengthCircleAngles in a CircleCyclic QuadrilateralRadiansAngle Conversion
2025/5/13

The problem asks to identify a central angle and an inscribed angle from the given diagram. It also ...

CirclesAnglesCentral AngleInscribed AngleAngle Measurement
2025/5/13