Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given three vectors, $a = -3i + 2j - 2k$, $b = -i + 2j - 4k$, and $c = 7i + 3j - 4k$. We need...
VectorsCross ProductDot Product3D Geometry
2025/4/9
We are given a circle with points A, B, Q, and R on its circumference. PQ and RS are tangents to the...
Circle GeometryCyclic QuadrilateralTangentsAnglesAlternate Segment TheoremRectangle
2025/4/9
The problem asks for an example of an equation of a line with zero slope. A line with zero slope is ...
Linear EquationsSlopeHorizontal Lines
2025/4/9
ABCD is a circle with center O. $\angle AOB = 80^{\circ}$ and $AB = BC$. We need to calculate (i) $\...
CirclesAnglesCyclic QuadrilateralsIsosceles Triangles
2025/4/8
The problem consists of two parts. Part (a) asks to find the measures of angle $Q\hat{A}B$ and angl...
CirclesAnglesTangentsCyclic QuadrilateralsIsosceles TrapezoidGeometric Proofs
2025/4/8
The problem asks us to find the volume of a prism. The formula for the volume of a prism is given as...
PrismVolumeAreaTriangles3D Geometry
2025/4/8
We need to find the circumference and area of three circles. Circle 1 has a diameter of 25 m. Circle...
CirclesCircumferenceAreaMeasurementUnits Conversion (Implicit)
2025/4/8
A rectangle is placed around a semicircle. The width of the rectangle is 8 yd. We need to find the a...
AreaRectangleSemicircleGeometric ShapesPi
2025/4/8
A circular pool has a diameter of 24 yards. A ring-shaped path with a width of 6 yards surrounds the...
AreaCirclesWord ProblemUnits ConversionRounding
2025/4/8
A circular window on a ship has a radius of 8 inches. We need to find the area of the glass needed f...
AreaCircleApproximationPiRadiusRounding
2025/4/8