
Circles: Fractions to Degrees and Back
Presentation
•
Mathematics
•
7th - 12th Grade
•
Easy
Standards-aligned
Catherine VallWatt
Used 32+ times
FREE Resource
5 Slides • 12 Questions
1
Circles: Fractions to Degrees and Back
A prerequisite for our Circles Unit
2
Multiple Choice
How many 1 degree turns are in a full circle?
500
1000
360
15
3
360°
We've learned that circles are divided into 360 equal pieces called degrees.
In this lesson, we're going to practice converting fractions of a circle to the equivalent degrees and back again!
4
Multiple Choice
What is the measure of the shaded part of the circle?
180 degrees
90 degrees
360 degrees
40 degrees
5
Multiple Choice
What is the measure of the shaded part of the circle?
180 degrees
90 degrees
360 degrees
270 degrees
6
Multiple Choice
How many degrees are in 1 part of a circle that is cut into 4 parts?
180
75
90
360
7
Great work!
Keep going!
8
Multiple Choice
9
Multiple Choice
How many degrees are in the shaded part of this circle?
72
360
90
45
10
Multiple Choice
How many degrees are in the shaded part of this circle?
72
360
90
45
11
Multiple Choice
The circle is split up by 8 congruent angles. Which statement is true about the circle?
Each angle would turn through 8 1° angles
Each angle measures 90 degrees
Each angle forms 1/8 of the circle
Each angle measures 360 degrees
12
Now, what about fractions that aren't so pretty?
13
Multiple Choice
In a circle, 300° is the same as:
32
3015
54
65
14
Multiple Choice
In a circle, 253° is the same as:
360253
2618
8754
32
15
Challenge Zone
16
Multiple Choice
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch. (Hint: Find the area of the whole circle. How much of the whole circle is 100°? Use that to get your final answer.)
9.2 sq. in.
10.5 sq. in.
31.4 sq. in.
38.2 sq. in.
17
Multiple Choice
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find how far she ran to the nearest degree.(Hint: Find the circumference of the whole circle. How much of the whole circumference is 230 feet? Use that to get your final answer.)
47
74
94
123
Circles: Fractions to Degrees and Back
A prerequisite for our Circles Unit
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