Year 5 Exam  >  Year 5 Notes  >  Year 5 Mathematics  >  Calculating angles around a point

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

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°.

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.

The document Calculating angles around a point | Year 5 Mathematics is a part of the Year 5 Course Year 5 Mathematics.
All you need of Year 5 at this link: Year 5
45 videos|42 docs|11 tests

Top Courses for Year 5

FAQs on Calculating angles around a point - Year 5 Mathematics

1. What is a full turn in terms of angles?
Ans. A full turn refers to an angle of 360 degrees, which takes you back to the starting point after completing a full rotation around a point.
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.
45 videos|42 docs|11 tests
Download as PDF
Explore Courses for Year 5 exam

Top Courses for Year 5

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Exam

,

Sample Paper

,

Semester Notes

,

Extra Questions

,

video lectures

,

Important questions

,

Free

,

MCQs

,

Objective type Questions

,

past year papers

,

shortcuts and tricks

,

Calculating angles around a point | Year 5 Mathematics

,

practice quizzes

,

Calculating angles around a point | Year 5 Mathematics

,

Summary

,

mock tests for examination

,

Previous Year Questions with Solutions

,

Calculating angles around a point | Year 5 Mathematics

,

study material

,

pdf

,

Viva Questions

,

ppt

;