3A: I can find arc length & area of a sector of a circle using proportional reasoning
HI CLASS
Since you have a sub today - here are self guided notes. Please turn to the first page in your new packet and follow along!
Any questions can be answered tomorrow. This is content that was learned last year, so see how well you can remember it!
Example 1: Given circle P with a radius of 8 and
Since we are finding arc length - use circumference
What is the length of arc AC?
Keep your answer in terms of
Example 2: Given circle P with a circumference of
FIRST: Find the radius
Since we are finding area of a sector - use area formula
What is the area of the shaded region?
Keep your answer in terms of
Example 3: Given circle P and
1. First find the area of the sector using
2. Find the area of the area of the triangle:
What did you get?
click to see the first hint if you are having trouble with this.
3. Subtract the area of the sector and the triangle to find the shades region.
What did you get?
Keep your answer in terms of
YOU TRY: Find the area of the shaded region.
1. Sector area:
2. Area of riangle:
3. Shaded Region:
Keep your answer in terms of
Example 4: A piece of gum is stuck to the bottom of a tire on Mila’s scooter. In order to get it off, she must rotate the tire 74°. When Mila does this, how far does the piece of gum travel? Note that the tire has a radius of 6 inches.
Arc Length:
Keep your answer in terms of
Do not worry about the last 3 questions.
For the rest of class work on the 3.1 Pizza Task (all 3 pages) in your packet. I will be collecting this for a grade at the end of class on TUESDAY
