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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
Geodesics. Non Euclidean Geometry. Mathematical reasoning & proof. Spheres. Games. Real world. Visualising. Maths Supporting SET. Surface and surface area. Working systematically.

### There are 5 results

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

### 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. . . .

### There and Back Again

##### Stage: 3 Challenge Level:

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

### Ball Packing

##### Stage: 4 Challenge Level:

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

### Three Balls

##### Stage: 4 Challenge Level:

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?

### Mouhefanggai

##### 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.
The text passage contains multiple titles and brief descriptions of mathematical problems or concepts, but does not contain any explicit questions or answers to mathematical problems.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Search by Topic

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

Filter by: Content type:
Stage:
Challenge level:

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

### There are 5 results

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

### 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. . . .

### There and Back Again

##### Stage: 3 Challenge Level:

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

### Ball Packing

##### Stage: 4 Challenge Level:

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

### Three Balls

##### Stage: 4 Challenge Level:

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?

### Mouhefanggai

##### 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.
user
The text passage contains multiple titles and brief descriptions of mathematical problems or concepts, but does not contain any explicit questions or answers to mathematical problems.

TYPE: NO_QUESTION