← SciSim/Math Playground/Angles

Angles Playground

Open the arms, make right, acute and obtuse angles, read a protractor and find the missing angle.

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The idea, step by step

Start here. An angle is made when two lines meet at a point. The lines are the arms and the point is the vertex. The size of an angle is how wide the arms are opened. Long arms do not make a bigger angle.

The square corner. The corner of a book or a window is a right angle. It measures 90°. An angle smaller than a right angle is acute. An angle bigger than a right angle, but smaller than a straight line, is obtuse. A straight line is 180°. Anything bigger than 180° is reflex.

Turns. A quarter turn is 90°. A half turn is 180°. Three quarters of a turn is 270°, and a full turn all the way round is 360°.

Using a protractor. Put the centre on the vertex and line one arm up with the 0 on the scale. Then read the number where the other arm crosses the same scale. In this game only the scale that starts at 0 is shown, so you cannot read the wrong one.

Angle facts. Angles on a straight line add up to 180°. Angles around a point add up to 360°. The three angles inside a triangle add up to 180°. When two straight lines cross, the angles opposite each other are equal.

Try this above. In Play, drag the ray to make a right angle, then keep going until the arms make a straight line. Turn on the protractor and read the number. At Challenge me, go all the way round to 360°.

Questions

What is an angle?

An angle is the amount of turn between two lines that meet at a point. We measure it in degrees. A small angle is like a slightly open book. A big angle is like a book opened flat.

Why are there 360 degrees in a full turn?

The number 360 can be divided evenly by many numbers (2, 3, 4, 5, 6, 8, 9, 10, 12 and more), so it is easy to split a full turn into equal parts. The idea goes back to the ancient Babylonians.

What is a protractor?

A protractor is a tool shaped like a half circle with a scale from 0 to 180. You use it to measure or draw angles.

What age is this for?

Pick the level, not the age. "Just starting" sorts angles into acute, right and obtuse. "I know the basics" reads a protractor and uses turns. "Challenge me" finds missing angles on lines, around a point and in triangles.

Do I need to sign up?

No. It is free and needs no account. Your stars are saved in your own browser.