1.
Example - Your local pizza place offers the following two pizza deals, both for the same price: Option 1: One extra-large pizza 16 inches in diameter.Option 2: Two medium pizzas each 8 inches in diameter.
2.
If the diameter of a circle is 12m, what is the radius of that circle?
Explanation
The radius of a circle is half of its diameter. Therefore, if the diameter of a circle is 12m, the radius would be half of that, which is 6m.
3.
The distance around a circle is called the ______.
Explanation
Please refer to the Quizlet vocabulary.
4.
What is the area of a circle with a circumference of ?
Correct Answer
A.
Explanation
If the circumference is 12pi, then the diameter is 12, which means the radius is 6. Square the radius to calculate the area. 6 squared is 36. The answer is 36pi.
5.
What is the area of a circle with a circumference of ?
Correct Answer
E.
Explanation
If the circumference is 16pi, then the diameter is 16, which means the radius is 8. Using the formula A=pi times the radius squared, the radius squared is 64, therefore the area is 64pi.
6.
The ____ is the distance from the center of a circle to the circle's edge.
Correct Answer
radius
Radius
Explanation
Please refer to the Quizlet vocabulary.
7.
What is ?Select all that apply.
Correct Answer(s)
A. An number that begins with 3.14.
D. The circumference divided by the diameter of a circle.
Explanation
The correct answers are "A number that begins with 3.14" and "The circumference divided by the diameter of a circle." A number that begins with 3.14 refers to the mathematical constant pi (Ï€), which is approximately equal to 3.14. The circumference divided by the diameter of a circle is also equal to pi (Ï€), as this ratio is constant for all circles.
8.
A ____ is a chord that passes through the center of a circle.
Correct Answer(s)
diameter
Diameter
Explanation
Please refer to the Quizlet vocabulary list "Circle Parts".
9.
The _____________ of a shape is the number of square units that fit inside a shape
Correct Answer
B. Area
Explanation
Please refer to the Educanon video Titled "Circle area".
10.
If the diameter of a circle is 10m, what is the radius of that circle?
Correct Answer
5m
5
5meters
5 m
5 meters
Explanation
The radius of a circle is half of its diameter. Therefore, if the diameter of the circle is 10m, the radius would be half of that, which is 5m.
11.
What does it mean to "square" a number?
Correct Answer
A. To multiply a number by itself.
Explanation
"Squaring" a number means multiplying the number by itself. This is done by taking the number and multiplying it by itself, resulting in the number being squared. For example, squaring 3 would be 3 multiplied by 3, which equals 9.
12.
Triangle ABC has one side length of 3 and one side length 5, the non-included angle next to the side of length 3 measures 60 degrees. Is there another triangle satisfying these conditions that has a third side of different length?
Correct Answer
B. No
Explanation
According to the given information, we have a triangle ABC with side lengths of 3, 5, and an angle of 60 degrees. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, the sum of the lengths of the sides 3 and 5 is equal to 8, which is not greater than any possible length for the third side. Therefore, there is no other triangle that satisfies these conditions with a third side of different length.
13.
The circumference of a circle with radius 8 is ___ times as big as the circumference with radius 1.
Correct Answer
8
8 times
Explanation
The circumference of a circle with a radius 8 is 16pi. The circumference of a circle with radius 1 is 2pi. 16pi divided by 2pi is 8.
14.
The circumference of a circle with radius 6 is ___ times as big as the circumference with radius 1.
Correct Answer
6
6 times
Explanation
The circumference of a circle with a radius 6 is 12pi. The circumference of a circle with radius 1 is 2pi. 12pi divided by 2pi is 6.
15.
Rope A circles earth while rope B also circles earth but floats 4 meters above the surface of the earth. What is the difference between the lengths of the two ropes?
Correct Answer
D. 8pi
Explanation
If the circle floats 4 meters above the surface, then the diameter of this circle is (d+8). Now find the difference of the two circumferences.
(d+8)pi - d pi
d pi + 8pi - dpi
8pi is the answer
16.
What is the area of the extra-large pizza?
Correct Answer
J. 64pi
Explanation
Half of 16 is 8 (the radius). Square the radius (64), then multiply by pi. The answer is 64pi.
17.
What is the area of the two medium pizzas combined?
Correct Answer
E. 32pi
Explanation
Half the diameter of the 8 inch pizza is 4 (the radius). Square the radius to get 16. The area of one medium pizza is 16pi. The area of two medium pizzas is 2 x 16pi = 32pi.
18.
Which choice will give you more pizza for your money?
Correct Answer
A. Option 1 - One extra-large pizza
Explanation
Option 1 offered 64pi worth of pizza. Option 2 offered 32pi worth of pizza.