Download presentation

Presentation is loading. Please wait.

Published byNico Gilliatt Modified over 4 years ago

2
Introduction to circles Area examples Let’s investigate… Circumference Circumference examples Area of a circle The Circle www.mathsrevision.com

3
Starter Questions 7cm www.mathsrevision.com

4
www.mathsrevision.com Main part of a Circle Learning Intention To identify the main parts of a circle. Success Criteria 1.Know the terms circumference, diameter and radius. 2.Identify them on a circle. 3.Calculate the circumference using formula. www.mathsrevision.com

5
www.mathsrevision.com Main parts of the circle Main part of a Circle radius O Circumference Diameter

6
www.mathsrevision.com www.mathsrevision.com Starter Questions www.mathsrevision.com Q1.Calculate Q2.Convert 60% to fraction and simplify. Q3.Convert Q4.What is the time difference 09:28 and 10:50 to a percentage. Q5.The answer to the question is 90. What is the question.

7
Let’s investigate… We can use a ruler to measure the diameter. How can we measure the circumference? Ask your teacher for the circles worksheet. www.mathsrevision.com

8
3.141592653589793238462643383279502… Let’s investigate… Look at the column circumference ÷ diameter circumference ÷ diameter is roughly There isn’t an exact answer for this. It actually goes on forever! We’ll stop here since it would stretch for 600 miles if we printed them all! In 1989 a computer worked it out to 480 million decimal places. 3 www.mathsrevision.com

9
The Circumference If it goes on for ever how can I write it down? We use the Greek letter instead. Mathematical Genius! This is called pi.

10
3.1415926535 So circumference ÷ diameter = Circumference = x diameter By re-arranging this we get: C = d www.mathsrevision.com The Circumference

11
www.mathsrevision.com www.mathsrevision.com Starter Questions www.mathsrevision.com Q1.Tidy up the expression Q2.Calculate Q3.Round to 1 decimal place. Q4.12.5 % as a fraction (a)2.34(b)10.25(c)3.23

12
This button stores to 8 or 9 decimal places which is more than accurate enough! 3.141592654 When doing circle calculations, you will normally use a calculator. Some calculators have a button like this: If your calculator doesn’t have Then use 3.14 instead. www.mathsrevision.com The Circumference

13
Example 1 6cm What is the circumference of this circle? C = dC = x 6 Press Then x 6 = C = 18.8cm (1 d.p.) www.mathsrevision.com

14
Example 2 5cm What is the circumference of this circle? C = dC = x 10 Remember: diameter = 2 x radius C = 31.4cm (1 d.p.) d =2 x 5= 10cm 10cm www.mathsrevision.com

15
Go back to the Circles worksheet and use to work out the circumference of each circle. C = d www.mathsrevision.com The Circumference

16
www.mathsrevision.com www.mathsrevision.com Starter Questions Starter Questions www.mathsrevision.com

17
Area of a circle To find the area we could try counting the squares inside the circle… 1 234 567 8 ? ? ? ? ?? ? ? There is a much more accurate way! Mathematical Genius!

18
www.mathsrevision.com Area of a circle A = r² Area = x radius There is a special formula for the area of a circle. Remember: r² means r x r

19
Example 1 What is the area of this circle? A = r²A = x 4 x 4 Press Then x 4 x4 = A = 50.3m² (1 d.p.) 4m www.mathsrevision.com

20
Example 2 What is the area of this circle? A = r²A = x 7 x 7 Press Then x 7 x 7 = A = 153.9cm² (1 d.p.) 14cm ? 7cm r =½ x 14= 7cm Don’t forget! www.mathsrevision.com

21
24m Example 3 What is the area of this semi-circle? A = r²A = x 12 x 12 A semicircle is half a circle. A = 452.4m² (1 d.p.) ? 12m r =½ x 24= 12m Don’t forget! Area of semi-circle = ½ x 452.4 First work out area of full circle. =226.2m²

Similar presentations

OK

Area Of Shapes. 8cm 2cm 5cm 3cm A1 A2 16m 12m 10m 12cm 7cm.

Area Of Shapes. 8cm 2cm 5cm 3cm A1 A2 16m 12m 10m 12cm 7cm.

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google