HW 4.1 Radians & Degrees

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for the area of a sector in a circle?
Back
The area of a sector is given by the formula: \( A = \frac{1}{2} r^2 \theta \), where \( r \) is the radius and \( \theta \) is the angle in radians.
Tags
CCSS.HSG.C.B.5
2.
FLASHCARD QUESTION
Front
How do you convert degrees to radians?
Back
To convert degrees to radians, use the formula: \( radians = degrees \times \frac{\pi}{180} \).
Tags
CCSS.HSF.TF.A.1
3.
FLASHCARD QUESTION
Front
What is the relationship between radians and degrees?
Back
180 degrees is equal to \( \pi \) radians.
Tags
CCSS.HSF.TF.A.1
4.
FLASHCARD QUESTION
Front
What is a coterminal angle?
Back
Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360 degrees or \( 2\pi \) radians.
5.
FLASHCARD QUESTION
Front
How do you find a coterminal angle for 30 degrees?
Back
To find a coterminal angle, add or subtract 360 degrees. For example, \( 30 + 360 = 390 \) degrees or \( 30 - 360 = -330 \) degrees.
6.
FLASHCARD QUESTION
Front
What is the radian measure of 180 degrees?
Back
180 degrees is equal to \( \pi \) radians.
Tags
CCSS.HSF.TF.A.1
7.
FLASHCARD QUESTION
Front
What is the degree measure of an angle with a radian measure of \( \frac{\pi}{3} \)?
Back
The degree measure is 60 degrees.
Tags
CCSS.HSF.TF.A.1
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