11.1: Circumference and Arc Length (4/24 Notes)

Circumference: The distance around a circle.
Circumference is the same thing as...
Circumference Equations:
[math]C=2\pi r[/math] (r = radius)[br][math]C=d\pi[/math] (d = diameter)
Watch this video to see why...
Before talking about arc length...
Complete Practice #1 and #2 on page 5. [br][br]For each question, answer two ways: with π and another as a decimal. Don't forget units![br][br]Check your answers with a table mate.
Page 5: Check answers
Practice #1
Page 5: Check answers
Practice #2
Remember: The measure of the central angle is equal to the measure of its intercepted arc.
What is arc length?
Which best describes arc length?
Arc Length equation:
Arc Length = [math]2\pi r\cdot\frac{arc}{360}[/math]
Arc Length Practice
On page 6, complete #3-5. [br][br]Leave [math]\pi[/math] in your answers and don't forget units!
Page 6: Check Answers
Practice #3
Page 6: Check Answers
Practice #4[br]Give 2 decimal places.[br]Don't forget units!
Page 6: Check Answers
Practice #5[br]Leave [math]\pi[/math] in your answer.[br]Don't forget units!
Converting Measurement Types
There are two ways to measure angles in a circle. We already know about degrees. The other method is called radians. To convert them, use this equation:[br][br][math]rad=\frac{deg\cdot\pi}{180}[/math][br][br]If you are given degrees, that will replace "deg". If you are given a number with [math]\pi[/math], it will replace "rad".[br][br]Radian answers usually contain [math]\pi[/math] and are fractions.
Page 6: Check Answers
Practice #1[br](Degrees -> Radians)
Page 6: Check Answers
Practice #2[br](Radians -> Degrees)[br][br]Your answer should look like:[br]# degrees
Work for #2. You can scroll/zoom.
Great work!
Message Miss Hess on Schoology with questions![br][br]Your homework is 11.1 HW. Let the sub know when you've finished the notes, and they will give it to you.[br][br]:)
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Información: 11.1: Circumference and Arc Length (4/24 Notes)