
Circle (circumference and area)
Presentation
•
Mathematics
•
6th - 7th Grade
•
Practice Problem
•
Hard
Standards-aligned
Dakota Farmer
Used 9+ times
FREE Resource
17 Slides • 11 Questions
1
Circle (circumference and area)
7.G.1, 7.G.4, 7.G.6
2
Circumference and Parts
3
4
Parts of a Circle
Radius, r: the distance from the center of the circle to the outside edge
Diameter, d: a straight line that passes through the center of the circle; it has two endpoints on the circle
Circumference, C: the distance around a circle.
5
C/D
Micah and his friends work at a tire factory. The factory manufactures several different sized tires for different vehicles. Please simplify the ratio set up for each type of bike.
6
Fill in the Blanks
What did the ratio of the circumference/diameter simplify down to for each type of bike?
Type answer...
7
8
Circumference
The circumference of a circle is the distance around the circle. It can be found using two formulas.
c=πd
c=2πr
π can be approximated to 3.14
9
Multiple Select
Which of the following are the correct circumferences for this circle?
12π
37.68 in
6π
18.84 in
10
Multiple Select
Which of the following are the correct circumferences for this circle?
43.96 cm
28π
14π
87.92 cm
11
12
13
Fill in the Blanks
A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car.
What is the radius of the Ferris Wheel? [Number Only]
Type answer...
14
Fill in the Blanks
A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car.
What is the diameter of the Ferris Wheel? [Number Only]
Type answer...
15
Fill in the Blanks
A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car.
A car travels 1 time around the Ferris wheel. How many meters did the car travel? [Number Only]
Type answer...
16
Area
17
18
Area of a Circle
The area of a circle measures the covering of a two-dimensional object.
Use the formula:
A = πr2
r2 = r×r
So that means A= π×r×r
19
Example 1 (Use 3.14 for Pi)
Formula: A = πr2
radius = 3 in
π = 3.14
A = 3.14(32)
A = 3.14(9)
A = 28.26 in2
20
21
22
Multiple Choice
Please find the area of this circle with the given dimension.
39.25 cm2
40 cm2
78.5 cm2
80cm2
23
Multiple Choice
Please find the area of this circle with the given dimension.
114 cm2
113.04 cm2
113 cm2
114.04 cm2
24
What to do if the area is known but other parts are not.
Sometimes the area of the circle may be known, but your radius or diameter is not known.
Using the formula for Area is key to solving for your missing piece of information.
25
Example 2: A circle has an area of 78.5 in2. What is the radius of the circle?
Known: A = πr2
A=78.5in2
π = 3.14
78.5 = 3.14r2
3.1478.5 = 3.143.14r2
25 = r2
Square Root to find the answer: r = 5
26
Multiple Choice
A pizza has a diameter of 18 inches. It is then cut into eight equal pieces. About how many square inches is each slice of pizza?
15.9
31.8
47.7
35.4
27
Fill in the Blanks
A circular rug measures 8 ft across. What is the area of the rug?
Type answer...
28
Fill in the Blanks
Two different circular fountains are being considered for an outdoor patio. How many more square feet will the larger fountain occupy than the smaller fountain?
Type answer...
Circle (circumference and area)
7.G.1, 7.G.4, 7.G.6
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