2D & 3D Geometry

2D and 3D geometry including circle measures and sectors, right-triangle and non-right-triangle trigonometry, bearings and angles of elevation/depression, 3D coordinates and angles in space, and surface area and volume of common solids.

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Right angled triangles

Pythagoras's theorem, SOHCAHTOA, finding side length from angles

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Non-right-angled triangles

Area of non-right-angled triangles using A=21absinC, the sine rule sinAa=sinBb=sinCc, the cosine rule c2=a2+b2−2abcosC, and the ambiguous case when solving triangles.

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Circles: Radians, arcs and sectors

Radian measure, converting between radians and degrees, and calculating arc length and sector area using l=rθ, A=21θr2, C=2πr, and A=πr2.

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3D space & solids

Spheres, cylinders, prisms, right cones, right pyramids, and combinations of solids

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Applied triangle geometry

Angles of elevation and depression, true bearings, projections and more

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2D & 3D Geometry

2D and 3D geometry including circle measures and sectors, right-triangle and non-right-triangle trigonometry, bearings and angles of elevation/depression, 3D coordinates and angles in space, and surface area and volume of common solids.

Sign up to view your learning progress

Sign up

Learning path

Follow the recommended order, or open any concept.

Start Here

Right angled triangles

Pythagoras's theorem, SOHCAHTOA, finding side length from angles

0/0 key exercises

Non-right-angled triangles

Area of non-right-angled triangles using A=21absinC, the sine rule sinAa=sinBb=sinCc, the cosine rule c2=a2+b2−2abcosC, and the ambiguous case when solving triangles.