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Resources tagged with Spheres similar to When the Angles of a Triangle Don't Add up to 180 Degrees:

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Other tags that relate to When the Angles of a Triangle Don't Add up to 180 Degrees
Visualising. Spheres. Working systematically. Geodesics. Nets. Games. Mathematical reasoning & proof. Surface and surface area. Real world. Non Euclidean Geometry.

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Broad Topics > 3D Geometry, Shape and Space > Spheres

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When the Angles of a Triangle Don't Add up to 180 Degrees

Stage: 4 and 5

This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the. . . .

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There and Back Again

Stage: 3 Challenge Level: Challenge Level:1

Bilbo goes on an adventure, before arriving back home. Using the information given about his journey, can you work out where Bilbo lives?

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Ball Packing

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If a ball is rolled into the corner of a room how far is its centre from the corner?

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Three Balls

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

A circle has centre O and angle POR = angle QOR. Construct tangents at P and Q meeting at T. Draw a circle with diameter OT. Do P and Q lie inside, or on, or outside this circle?

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Stage: 4

Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.