Mathematics: Geometry and Trigonometry Flashcards
7 cards from real NBT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mathematics: Geometry and Trigonometry flashcards as text
A circle has a radius of 7 cm. What is its circumference?
Answer: 14π cm
Circumference = 2πr = 2π(7) = 14π cm.
In triangle ABC, angle A = 35° and angle B = 75°. What is angle C?
Answer: 70°
Angles in a triangle sum to 180°, so C = 180° − 35° − 75° = 70°.
What is sin(45°)?
Answer: √2/2
sin(45°) = √2/2 ≈ 0.707, derived from the 45-45-90 triangle.
A rectangle has length 12 m and width 5 m. What is the length of its diagonal?
Answer: 13 m
By the Pythagorean theorem, diagonal = √(12² + 5²) = √(144 + 25) = √169 = 13 m.
The bearing of point B from point A is 120°. What is the bearing of A from B?
Answer: 300°
The reverse bearing is found by adding or subtracting 180°: 120° + 180° = 300°.
Which of the following is the correct cosine rule for triangle ABC?
Answer: a² = b² + c² − 2bc·cos A
The cosine rule states a² = b² + c² − 2bc·cos A.
A sector of a circle has radius 6 cm and central angle 60°. What is the area of the sector?
Answer: 6π cm²
Area = (θ/360°)·πr² = (60/360)·π(36) = 6π cm².
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