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The Awesome Figures of Circles. Screen Bean Says, “Circles Are Awesome Figures in Our World!”. Circle, Diameter, Radius, Circumference, Pi Presentation by Bobbie J. Taylor 2009. Objectives Understanding Some Measurements of Circles .

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The Awesome Figures of Circles

Screen Bean Says, “Circles Are Awesome Figures in Our World!”

Circle, Diameter, Radius, Circumference, Pi

Presentation by Bobbie J. Taylor

2009


Objectives Understanding Some Measurements of Circles

What are the measurements inside, around, and across a circular swimming pool?

  • Circle

  • Diameter

  • Radius

  • Circumference

  • Area

  • Pi

  • Practice Makes Perfect


WHAT IS A CIRCLE?

The kids say, “Screen Bean first needs to know the definition of a circle.”

A circle is a closed flat figure in which every point is the same distance from a given point, called the center of a circle.


Diameter and Radius

A

O

B

Next, Screen Bean, you should know the diameter and radius of a circular pool.

A

5 m

10m

Diameter

Diameter describes both

a line segment through

the center of a circle with

endpoints on the circle

and the length of that

line segment. The diameter of a circle is always 2r.

Radius

Radius is any segment that

has one endpoint at the

center of the circle and the

other endpoint

on the circle. The radius is always ½d.


Circumference and Area

Wait, Screen Bean, you need to know the definition and formula for circumference and area of a circle before you swim across the pool.

  • Circumference is the distance around a circle.

  • Area is the distance within a circle.

  • The formula for a circumference of a circle is π*d or 2π*r.

  • The formula for area of a circle π*r2.

  • Pi is approximately 3.142


Pi

Pi

Pi comes from the Greek letter pi which is written as π.

Written as a decimal, pi is close to the decimal approximation, 3.141592653589793…


Practice Makes PerfectProblem Solving and Critical Thinking

  • What is the correct term for the distance across a circular swimming pool?

  • If Screen Bean wanted to know half the diameter of a circular swimming pool, what term is need?

  • Circumference measures what around a circular pool?

  • What formula can be used to find the area of a circle?

  • A swimming pool has a diameter of 100 m. What is its radius?

  • If a radius of a swimming pool is 30 ft, what is its diameter?


Summary

Screen Bean says, “I have learned some basic measurements of a circle, and I’m now ready to swim the distance across the pool.” Screen Bean also thanks his teachers for explaining to him some geometric terms for circles and the awesome role circles play in our world.


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