Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a diagram of a triangle ABC, where angle B is a right angle. The length of AC is 12 cm ...

TrianglesTrigonometryRight TrianglesSineCosineTangentSurds
2025/3/21

The problem asks us to analyze the equation $x^2 + y^2 + 6x - 2y + 6 = 0$. We need to determine what...

CirclesCompleting the SquareAnalytic GeometryEquation of a Circle
2025/3/21

The problem states that a rectangular board has a long side of 18 cm and a short side of 12 cm. We n...

PerimeterRectangleGeometric Formulas
2025/3/20

The problem states that two triangles are similar. The dimensions of the sides of the triangles are ...

Similar TrianglesProportionsScale Factor
2025/3/20

The problem asks us to find the perimeter of a figure consisting of a semicircle and three straight ...

PerimeterSemicircleArc LengthGeometric FiguresApproximation
2025/3/20

The problem describes a cylinder with a diameter of $14 cm$ and a length of $25 cm$. We need to find...

CylinderCircumferenceVolumeAreaCircle3D Geometry
2025/3/19

The problem describes a cylinder with diameter $d = 10$ cm and length (height) $h = 38$ cm. We need ...

CylinderCircumferenceVolumeSurface AreaArea
2025/3/19

Given that the terminal side of an angle $\alpha$ has a point $P(1, \sqrt{3})$, find the value of $\...

TrigonometryUnit CircleCosineTangent
2025/3/19

The image presents two geometry problems related to triangles. Problem 1: In triangle $ABC$, angle $...

TrianglesLaw of CosinesTrigonometryTriangle PropertiesSide Length Calculation
2025/3/19

The problem asks us to graph the image of triangle $LMN$ after a 180-degree counterclockwise rotatio...

GeometryCoordinate GeometryRotationsTransformationsTriangles
2025/3/19