arc length and sector area

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for arc length?
Back
Arc Length = (θ/360) × 2πr, where θ is the angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
2.
FLASHCARD QUESTION
Front
What is the formula for the area of a sector?
Back
Area of Sector = (θ/360) × πr², where θ is the angle in degrees and r is the radius.
Tags
CCSS.HSG.C.B.5
3.
FLASHCARD QUESTION
Front
If the radius of a circle is 12 cm, what is the circumference?
Back
Circumference = 2πr = 2π(12) = 24π cm.
Tags
CCSS.7.G.B.4
4.
FLASHCARD QUESTION
Front
What is the relationship between the diameter and radius of a circle?
Back
Diameter = 2 × Radius.
Tags
CCSS.7.G.B.4
5.
FLASHCARD QUESTION
Front
How do you convert degrees to radians?
Back
Radians = Degrees × (π/180).
Tags
CCSS.HSF.TF.A.1
6.
FLASHCARD QUESTION
Front
What is the area of a circle with a radius of 5 cm?
Back
Area = πr² = π(5)² = 25π cm².
Tags
CCSS.7.G.B.4
7.
FLASHCARD QUESTION
Front
If a circle has a circumference of 31.4 cm, what is its radius?
Back
Radius = Circumference / (2π) = 31.4 / (2π) = 5 cm.
Tags
CCSS.7.G.B.4
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