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Calculating angles around a point | Year 5 Mathematics PDF Download

What is a full turn?

  • A full turn around a point is 360°. Angles around a point always sum to 360°.
  • Knowing one of the angles allows you to calculate the other angles around the point, often without needing a protractor.

Examples

Test: Lines and Angles
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Example: 1

This diagram shows that there are two angles to be found.
What are angles C and D?
Calculating angles around a point | Year 5 MathematicsThe angles either side of the straight line must add up to 180°.
To find angle C, you can subtract 112° from 180°.
180° - 112° = 68°
Calculating angles around a point | Year 5 MathematicsAngle C is 68°.
To find angle D, subtract 145° from 180°.
180° - 145° = 35°
Calculating angles around a point | Year 5 MathematicsAngle D is 35°.

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Example: 2

What is the value of A?
Calculating angles around a point | Year 5 MathematicsThese two angles are around a point. They must add up to 360°.
135° + A = 360°
We can rearrange this to find angle A:
A = 360° - 135°
Therefore:
360° - 135° = 225°
Angle A is 225°.
Calculating angles around a point | Year 5 MathematicsHowever, sometimes you need to find more than one angle around a point.

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FAQs on Calculating angles around a point - Year 5 Mathematics

1. What is a full turn in terms of angles?
2. How is a full turn calculated when measuring angles around a point?
Ans. To calculate a full turn when measuring angles around a point, you simply need to add up all the angles that make up the rotation, which will total 360 degrees.
3. Why is understanding a full turn important in geometry and trigonometry?
Ans. Understanding a full turn is crucial in geometry and trigonometry as it helps in visualizing angles around a point and determining the relationships between different angles within a circle.
4. How can angles around a point be used in real-life applications or problem-solving scenarios?
Ans. Angles around a point can be used in real-life applications such as navigation, architecture, and engineering, where precise measurements and calculations of angles are necessary.
5. What are some common misconceptions people have about a full turn and angles around a point?
Ans. Some common misconceptions include confusing a full turn with a half turn (180 degrees) and assuming that angles around a point always start and end at the same position.
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