Area, volume, triangles, circles, and basic trigonometric ratios
What is the area of a triangle with base 8 and height 5?
Area of triangle = ½ × base × height = ½ × 8 × 5 = 20
In a right triangle, if two sides are 3 and 4, what is the hypotenuse?
Pythagorean theorem: a² + b² = c², so 3² + 4² = 9 + 16 = 25, √25 = 5
What is the circumference of a circle with radius 7?
Circumference = 2πr = 2 × π × 7 = 14π
In a right triangle, what is sin(θ) equal to?
SOH-CAH-TOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent
What is the volume of a cylinder with radius 3 and height 10?
Volume of cylinder = πr²h = π × 3² × 10 = π × 9 × 10 = 90π