Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are asked to describe the graphs of the given cylindrical or spherical equations. Problem 7: $r =...
3D GeometryCylindrical CoordinatesSpherical CoordinatesCoordinate SystemsGraphing
2025/4/19
The problem requires converting Cartesian coordinates to cylindrical coordinates. (a) Convert $(2, 2...
Coordinate SystemsCartesian CoordinatesCylindrical CoordinatesCoordinate Transformation3D Geometry
2025/4/19
We are given a circle $PQRS$ with center $O$. We are also given that $\angle UQR = 68^\circ$, $\angl...
Circle GeometryCyclic QuadrilateralAnglesExterior Angle Theorem
2025/4/19
The problem asks to convert the given spherical coordinates to Cartesian coordinates. (a) The spheri...
Coordinate GeometrySpherical CoordinatesCartesian Coordinates3D GeometryCoordinate Transformation
2025/4/19
The ratio of the interior angle to the exterior angle of a regular polygon is $5:2$. We need to find...
PolygonsRegular PolygonsInterior AnglesExterior Angles
2025/4/19
We need to determine the length of a guywire that extends from the top of a 30ft pole to a point on ...
Pythagorean TheoremRight TrianglesWord ProblemSquare Roots
2025/4/19
We are asked to find the value of the angle marked $P$ in the diagram. The diagram shows an equilate...
TrianglesAnglesEquilateral TriangleAngle Calculation
2025/4/19
In triangle $XYZ$, $XT$ is the altitude, where $|XT| = 60$ cm, $|YT| = 11$ cm, and $|XZ| = 65$ cm. W...
TrianglePythagorean TheoremAltitudeRight Triangle
2025/4/19
The problem asks us to name the given angle in three different ways. The angle is formed by the rays...
AnglesGeometric NotationVertexRays
2025/4/18
The problem asks to determine the measurement of the angle shown in the image.
AnglesAngle MeasurementProtractor
2025/4/18