What is the formula for the area of a sector?
HON - Trig Test

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Area = (θ/360) * π * r², where θ is the angle in degrees and r is the radius.
2.
FLASHCARD QUESTION
Front
How do you use the Law of Sines?
Back
The Law of Sines states that (a/sinA) = (b/sinB) = (c/sinC), where a, b, and c are the lengths of the sides of a triangle and A, B, and C are the angles opposite those sides.
3.
FLASHCARD QUESTION
Front
What is the Law of Cosines?
Back
The Law of Cosines states that c² = a² + b² - 2ab*cosC, where c is the side opposite angle C.
4.
FLASHCARD QUESTION
Front
How do you calculate the area of a triangle using the Law of Sines?
Back
Area = (1/2) * a * b * sinC, where a and b are two sides of the triangle and C is the included angle.
5.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a right triangle?
Back
In a right triangle, the sine, cosine, and tangent functions relate the angles to the ratios of the sides.
6.
FLASHCARD QUESTION
Front
How do you find the length of a side in a triangle using the Law of Cosines?
Back
Rearrange the formula: c = √(a² + b² - 2ab*cosC) to solve for the unknown side.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle given two sides and the included angle?
Back
Area = (1/2) * a * b * sinC.
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