Giant Circle Challenge

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a circle?
Back
The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.
Tags
CCSS.7.G.B.4
2.
FLASHCARD QUESTION
Front
How do you calculate the circumference of a circle?
Back
The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius.
Tags
CCSS.7.G.B.4
3.
FLASHCARD QUESTION
Front
What is the relationship between the diameter and radius of a circle?
Back
The diameter of a circle is twice the length of the radius. The formula is d = 2r, where d is the diameter and r is the radius.
Tags
CCSS.7.G.B.4
4.
FLASHCARD QUESTION
Front
What is π (pi) and why is it important in circle calculations?
Back
π (pi) is a mathematical constant approximately equal to 3.14159. It is important in circle calculations as it relates the circumference and diameter of a circle.
Tags
CCSS.HSG.GMD.A.1
5.
FLASHCARD QUESTION
Front
If the radius of a circle is doubled, how does the area change?
Back
If the radius is doubled, the area increases by a factor of four, since area is proportional to the square of the radius (A = π(2r)² = 4πr²).
Tags
CCSS.7.G.B.4
6.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
The volume of a cylinder is calculated using the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
How do you find the radius if you know the area of a circle?
Back
To find the radius from the area, use the formula r = √(A/π), where A is the area.
Tags
CCSS.7.G.B.4
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