Understanding Circles: Key Concepts of Diameter, Radius, Circumference, and Pi
Circles are a fundamental shape encountered in everyday life, and their properties can be described using specific vocabulary. The diameter is the distance through the center of the circle and is twice the length of the radius, which is half of the diameter. The ratio known as Pi (π) relates the circumference to the diameter. To calculate the circumference, you can use the formula C = 2πr or C = πd. For example, with a diameter of 10 cm, the circumference is approximately 31.4 cm. Understanding these concepts allows for better comprehension of geometry and its applications.
Understanding Circles: Key Concepts of Diameter, Radius, Circumference, and Pi
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Presentation Transcript
Circles Circles are EVERYWHERE.
VOCABULARY Diameter Radius Circumference Pi
DIAMETER Diameter is the distance through the middle of the circle. It is twice as large as the radius. d =diameter r= radius
Radius • Radius is ½ as large as the diameter. • R=1/2d • The radius is used in many circle formulas
PI IS NOT : • A whole pie • A slice of pie
PI • Pi is the ratio of the circumference to the diameter. This is the symbol for pi p
The diameter of the quarter is 5.5cm. What is the circumference?
AND THE ANSWER IS….. 17.27 cm
Circumference • Circumference is the distance around the circle. To find the circumference of a circle You have to know the diameter or radius.
Radius = 4cm Circumference = 2 X R X π Circumference= 2 X 4 X 3.14 C= 25.12 cm
Diameter = 10cm C= π x D C= 3.14 x 10 C= 31.4 cm
WHAT IS THE DIAMETER? Radius is 6 inches Diameter is 12 inches
LET’S PRACTICE D= 24 INCHES R= 12 inches