Understanding the Area of Circles Through Visual Demonstrations

Explore the concept of finding the area of circles through engaging visuals and step-by-step instructions. Learn to apply the formula A = r², where 'r' represents the radius, to calculate the area of circles. Practice solving problems with different radii and diameters, and consolidate your understanding by showcasing your workings on a whiteboard. Embrace a hands-on approach to mastering circle geometry concepts.

• Circles
• Area
• Radius
• Diameter
• Visual Demonstrations

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Uploaded on Sep 15, 2024 | 0 Views

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1. Radius Length from centre to edge Arc Part of the circumference ? ? Sector ? Area between two radii & an arc ? Diameter Width , through centre Chord ? Line between two points on the circumference Circumference ? Perimeter Segment ? Area between a chord & an arc Chord Radius Which parts of a circle can you recall? Centre Sector ? Arc Segment Circumference RETRIEVE INSTRUCT PRACTISE SECURE

2. EVERY CHILD A READER Finding the Area of a Circle RETRIEVE To find the area of a circle, we can partition and rearrange to make a rectangle. DECODE CONNECT VISUALISE Watch thisvideo SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

3. EVERY CHILD A READER Finding the Area of a Circle RETRIEVE The area of a circle can be found using the formula: DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

4. EVERY CHILD A READER The Area of a Circle A = r2 RETRIEVE A = r2 DECODE Calculate the area of a circle with a radius of 10 using the formula above. CONNECT VISUALISE Draw a diagram before working it out. How would you type it into your calculator? SUMMARISE INFER Calculate the area of a circle with a radius of 20 using the formula above PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

5. EVERY CHILD A READER The Area of a Circle A = r2 RETRIEVE A = r2 DECODE Calculate the area of a circle with a diameter of 10 using the formula above. CONNECT VISUALISE How is this different to the previous questions? SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

6. The Area of a Circle A = r2 A = r2 Calculate the area of this shape. Show all of your working out on your whiteboard. RETRIEVE INSTRUCT PRACTISE SECURE

7. EVERY CHILD A READER The Area of a Circle A = r2 These shapes are not drawn to scale. RETRIEVE Calculate the area. You must show your working out. DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

8. EVERY CHILD A READER How are the areas of these shapes related? RETRIEVE Canyou explain why? DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

9. EVERY CHILD A READER These shapes have the same areas. Write possible measurements on your whiteboards RETRIEVE DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

10. EVERY CHILD A READER These shapes have the same areas. RETRIEVE If the radius of circle a is x, what is the diameterof circle b? DECODE CONNECT ? x VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

11. EVERY CHILD A READER These shapes have the same areas. RETRIEVE If the diameter of circle b is y, what is the radiusof circle a? DECODE CONNECT y ? VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

12. EVERY CHILD A READER The Area of a Circle A = r2 RETRIEVE A = r2 DECODE Calculate of this shape. Show all of your working out on your whiteboard. CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

13. EVERY CHILD A READER The Area of a Circle A = r2 RETRIEVE A = r2 DECODE Calculate of this shape. Show all of your working out on your whiteboard. CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

14. On your whiteboards: RETRIEVE INSTRUCT PRACTISE SECURE

15. EVERY CHILD A READER Title: The area of a circle RETRIEVE Find the areas of these shapes in your books. You must show working out. DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

16. EVERY CHILD A READER Title: The area of a circle RETRIEVE How is area a related to area b? Why? DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

17. EVERY CHILD A READER Title: The area of a circle RETRIEVE How is area b related to area c? Why? DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

18. EVERY CHILD A READER Title: The area of a circle RETRIEVE Can you find some others that are related? DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

19. EVERY CHILD A READER Challenge RETRIEVE A = r2 DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE

20. EVERY CHILD A READER Further Challenge RETRIEVE A = r2 DECODE CONNECT VISUALISE SUMMARISE INFER PREDICT EXAMINE RETRIEVE INSTRUCT PRACTISE SECURE