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Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Turns

  • Full Turn: Turning completely around and coming back to the starting position.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Half Turn: Turning halfway and facing the opposite direction.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Quarter Turn: Turning one-fourth of a full turn, facing sideways.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Rule:

    • 2 Half Turns = 1 Full Turn

    • 4 Quarter Turns = 1 Full Turn

    • 2 Quarter Turns = 1 Half Turn

Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

Types of Angles

  • Right Angle: 1/4 of a full turn. Looks like the corner of a book.

  • Acute Angle: Less than a right angle. Sharp and small.

  • Obtuse Angle: Bigger than a right angle but smaller than a straight angle.

  • Straight Angle: 1/2 of a full turn. Forms a straight line.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

Measuring Angles with Turns

Angles can be measured as fractions of a full turn.

  • Examples:

    • 1/8 turn = Small angle

    • 2/8 turn = Right angle

    • 4/8 turn = Straight angle

    • 8/8 turn = Full turn

Directions of Turns

  • Clockwise (CW): Same direction as a clock’s hands.

  • Anti-clockwise (ACW): Opposite direction of clock’s hands.

Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

Everyday Examples

  • Taps → Quarter or half turn.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Doors → Quarter or half turn.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Scissors → Small turns.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

  • Giant Wheel → Full turns.Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

The document Important Formulas: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT is a part of the Class 5 Course Mathematics (Maths Mela) Class 5 - New NCERT.
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FAQs on Important Formulas: Angles as Turns - Mathematics (Maths Mela) Class 5 - New NCERT

1. What is a turn in the context of measuring angles?
Ans. A turn is a complete rotation around a point, equivalent to 360 degrees. It is often used to describe the motion of rotating an object or the measurement of angles in a circular motion.
2. How do you measure angles using turns?
Ans. Angles can be measured in turns by determining the fraction of a full rotation they represent. For example, a right angle is 1/4 of a turn (or 90 degrees), a straight angle is 1/2 of a turn (or 180 degrees), and a full angle is 1 turn (or 360 degrees).
3. What are the different types of angles based on turns?
Ans. The types of angles based on turns include acute angles (less than 1/4 turn or 90 degrees), right angles (equal to 1/4 turn or 90 degrees), obtuse angles (greater than 1/4 turn but less than 1/2 turn or 90-180 degrees), straight angles (equal to 1/2 turn or 180 degrees), reflex angles (greater than 1/2 turn but less than a full turn), and full angles (equal to 1 turn or 360 degrees).
4. What are the common directions of turns that can be used to describe angles?
Ans. The common directions of turns are clockwise and counterclockwise. Clockwise turns move in the direction of a clock’s hands, while counterclockwise turns move in the opposite direction. These directions help in identifying the orientation of angles when measuring.
5. Can you give everyday examples of angles as turns?
Ans. Yes, everyday examples include turning the steering wheel of a car (where a 1/4 turn would steer the car sharply to the left or right), opening a door (which typically rotates around its hinges), or the hands of a clock moving around its center. These examples illustrate how angles and turns are present in daily life.
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