Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
In the circle $PQR$ with center $O$, we are given that $\angle OPQ = 48^\circ$. We need to find the ...
CirclesAnglesIsosceles TriangleAngle Calculation
2025/4/10
We are given a diagram (not drawn to scale) with $PU \parallel SR$, $PS \parallel TR$, and $QS \para...
AreaParallelogramTriangleGeometric Figures
2025/4/10
The problem states that the length of an arc of a circle of radius $3.5$ cm is $1 \frac{19}{36}$ cm....
Arc LengthCircleAngleRadiansDegrees
2025/4/10
We are given a diagram where line $MN$ is parallel to line $PQ$. We are given that $\angle MNP = 2x$...
Parallel LinesAnglesSupplementary AnglesAlgebra
2025/4/10
We are given that each interior angle of a regular polygon is $168^{\circ}$. We need to find the num...
PolygonsRegular PolygonsInterior AnglesGeometric Formulas
2025/4/10
Problem 27 asks: In which quadrant does angle $y$ lie if $\tan y$ is positive and $\sin y$ is negati...
TrigonometryPyramidsVolume CalculationQuadrants
2025/4/10
We are given a fence of height 2.4 m and a tree of height 16 m. The fence is 10 m away from the tree...
TrigonometryAngle of ElevationTangent FunctionWord Problem
2025/4/10
The problem 23 asks to simplify the expression $\frac{a}{b} - \frac{b}{a} - \frac{c}{b}$. The proble...
Equilateral TriangleTrigonometryTangentRight TrianglesPythagorean Theorem
2025/4/10
We are given a diagram with two parallel lines $PQ$ and $SR$. We are given an exterior angle of $246...
Parallel LinesAnglesTransversalInterior AnglesExterior AnglesTrianglesAngle Sum Property
2025/4/10
The problem states that a carpet consists of two parts, blue and white. The white part is a rectangl...
PerimeterAreaRight TrianglePythagorean TheoremAlgebra
2025/4/10