Unit 6 Test Review - Circles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of the equation of a circle?
Back
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Tags
CCSS.HSG.GPE.A.1
2.
FLASHCARD QUESTION
Front
How do you find the center and radius of a circle from its equation?
Back
To find the center and radius from the equation Ax² + Ay² + Bx + Cy + D = 0, rewrite it in standard form. The center is (-B/2A, -C/2A) and the radius is √((B² + C² - 4AD)/(4A²)).
Tags
CCSS.HSG.GPE.A.1
3.
FLASHCARD QUESTION
Front
What is the relationship between the radius and the arc length in a circle?
Back
The arc length (s) is given by the formula s = rθ, where r is the radius and θ is the central angle in radians.
Tags
CCSS.HSG.C.B.5
4.
FLASHCARD QUESTION
Front
What is the value of cos(0) in the unit circle?
Back
The value of cos(0) is 1.
Tags
CCSS.HSF.TF.A.2
5.
FLASHCARD QUESTION
Front
What is the value of sin(π/2) in the unit circle?
Back
The value of sin(π/2) is 1.
Tags
CCSS.HSF.TF.A.2
6.
FLASHCARD QUESTION
Front
How do you calculate the circumference of a circle?
Back
The circumference (C) of a circle is calculated using the formula C = 2πr, where r is the radius.
Tags
CCSS.7.G.B.4
7.
FLASHCARD QUESTION
Front
What is the value of cos(π/4) in the unit circle?
Back
The value of cos(π/4) is √2/2.
Tags
CCSS.HSF.TF.A.2
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