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Grade 5/ Maths/ Angles as Turns
Chapter 3 · NCERT Class 5 Maths Mela

Angles as Turns

Every time you turn — to face a friend, open a door, or read a clock — you make an angle. An angle is simply how much you turn. Learn the quarter, half and full turns, and the special right angle. Tap each idea to explore it.

🔄 3 topics⏱ ~20 min📝 10-question quiz
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Play with it

Six ideas about turning

An angle is an amount of turn. Tap each term to see what it means, with an example you can act out.

Explore · Turns & anglestap a term

Learn

The three big ideas

  • When you turn from facing one way to facing another, the amount you turned is an angle.
  • The two directions are the arms of the angle, and the spot you turn around is the corner (vertex).
  • A bigger turn makes a bigger angle — the length of the arms does not matter at all.

Worked example. Stand facing North. Turn to your right until you face East. How much did you turn?

North to East is one-quarter of the way around — a quarter turn. That turn makes a square corner, called a right angle.

  • Quarter turn = a right angle = a square corner (like the corner of this page).
  • Half turn = two right angles = facing the exact opposite way (a straight line).
  • Full turn = four right angles = all the way around, back to where you started.
  • A turn smaller than a right angle is a sharp, narrow angle; a turn bigger than a right angle is a wide, open one.

Worked example. A spinning top makes 2 right angles of turn before it slows. What kind of turn is that?

2 right angles join to make a half turn — the top ends up facing the opposite direction.

  • A clock hand sweeps around the face, so it is a perfect turn-maker.
  • From 12 to 3 is a quarter turn (right angle); from 12 to 6 is a half turn; all the way round to 12 again is a full turn.
  • You can compare angles by asking “which one turned more?” — more turn means the bigger angle.

Worked example. The minute hand moves from 12 to 6. How much did it turn?

12 to 6 is halfway around the clock — a half turn, which is two right angles.

Common mix-up: thinking a longer arm makes a bigger angle. It does not! Two angles with the same turn are equal, even if one is drawn with short arms and the other with long arms.

Where you’ll meet it

Turns all around you

Opening a door

A door swings on its hinge — a small push is a small angle, swinging it wide open is a bigger turn. The hinge is the corner of the angle.

Directions & the compass

North, East, South, West sit a quarter turn apart. Turning right from North to East is one right angle — handy when reading a map.

Clocks & steering

Clock hands and a bicycle handle both make turns we can measure as quarter, half or full — angles you use every single day.

Check yourself

Quick quiz

Ten friendly questions — mostly multiple-choice with one assertion–reason — to check that you can use turns and angles, not just remember them.

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Interactive built to the OpenMAIC approach (THU-MAIC, MIT). Content from the NCERT Class 5 Maths Mela textbook (ncert.nic.in).

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