The Trojan War and The Iliad The gods
- Slides: 49
The Trojan War and The Iliad
• The gods Apollo and Poseidon built the city of Troy. • Priam, the King of Troy had a son named Paris. • A prophet foretold that Paris would destroy
Well maybe not. • But why did Troy stand for so long? • The pythagorean theorem! •
Circumference and Area of Circles
Parts of a Circle • Radius-Straight line from the middle to the outside of a circle
• Diameter-a line that cuts the circle in half from end to end
Circumference • Circumference is the distance around the circle. Like the perimeter.
Pi • Pie is a special number. It is the ratio of the circumference and the diameter
• Pi goes on forever!!!!!! • We approximate it using 3. 14
Finding Circumference
Finding Circumference 6 · 3. 14 = 18. 84 in. 6�� in. would be the exact answer, but we are going to estimate using �� = 3. 14
What if you have the radius? The radius is half of the diameter
How Would You Find the Diameter if You Only Had the Circumference? • It’s easy! • When given circumference, to find diameter just divide by pi.
Circumference = �� d 21. 98 = 3. 14 d C = 21. 98 cm
Circumference = �� d C = 37. 68 m
Circumference = �� d C = 47. 10 m
I thought penguins were smart?
Area of a Circle
Area of a Circle The Formula
Example 3. 14 · 36 = 113. 04 in²
Try
Try
What if you are given the diameter? • How can you find the radius if you only have the diameter? • The radius is half of the diameter • Diameter = 8 then radius =4
Radius = 3 Example
Try
Finding Radius and Diameter from Area • Just like you could find radius and diameter from circumference, you can find the radius and diameter from area by filling in known values and solving.
Example Area = �� r² Area = 78. 50 cm² Radius = Diameter =
Area = 314. 00 cm² Radius = Diameter =
Area = 200. 96 cm² Radius = Diameter =
Closure • What is the formula for finding the area of a circle?
Closure • How can you find the radius if you only have the diameter?
Closure • What is the diameter?
Closure • What is the radius?
Closure • What is circumference?
Closure • What is the relationship between the radius and the diameter?
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