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6 th Grade SPI: Calculate with circumferences and areas of circles.
The circumference of a circle is The distance around a circle Hint: Circumference remember circle around
First we must define some things about a circle. The radius is the distance from the center of a circle to any point on a circle. Hint: I like to define it as halfway through!
The diameter is the distance across a circle through the center.
We use Pi as the measurement to help us find the circumference of a circle. Pi, not Pie!
HINT: Pi =3.14
Two formulas are used in finding the circumference of a circle. Circumference = d 3.14 x 4in. 12.6in. WHEN THE CIRCLE HAS A DIAMETER MEASUREMENT, USE THE FOLLOWING FORMULA. 4in.
Circumference = 2 r When the radius of a circle is given, the following formula should be used. 2 x 3.14 x 5cm 31.4cm HINT: Always round your answers to the nearest tenth.
NOW…Lets have some fun. Tell me what formula would be used to solve the next five problems.
3in C = 2 x 3.14 x r
8ft C = 3.14 d
122mm C = 2 x 3.14 x d
17.5 cm C = 3.14 x d
122.5mm C = 2 x 3.14 x r
Now that we have determined the correct formula for each, lets work the problems.
3in C = 2 x 3.14 x r The answer is: 18.8in
8ft C = 3.14 d The answer is: 25.1ft
122mm C = 2 x 3.14 x d The answer is: 766.2mm
17.5 cm C = 3.14 x d The answer is: 55cm
122.5mm C = 2 x 3.14 x r The answer is: 76,930mm
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