Podcast
Questions and Answers
What is the formula for the area of a rectangle?
What is the formula for the area of a rectangle?
- A = 4s
- A = lw (correct)
- A = l + w
- A = 2l + 2w
Which statement describes an isosceles triangle?
Which statement describes an isosceles triangle?
- Has two equal sides and two equal angles (correct)
- Has no equal sides and angles
- Has three equal sides and three equal angles
- Has two sides that are longer than the third side
What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
- C = πd
- C = r2 + r
- C = πr2
- C = 2πr (correct)
Which formula represents the Pythagorean theorem?
Which formula represents the Pythagorean theorem?
What is the formula for the volume of a right circular cylinder?
What is the formula for the volume of a right circular cylinder?
Flashcards
Perimeter of a Rectangle
Perimeter of a Rectangle
The total length of all sides of a rectangle added together.
Area of a Rectangle
Area of a Rectangle
The area enclosed within a rectangle.
Angle Sum Property of a Triangle
Angle Sum Property of a Triangle
The sum of the measures of the three interior angles of any triangle is always 180 degrees.
Area of a Triangle
Area of a Triangle
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Pythagorean Theorem
Pythagorean Theorem
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Study Notes
Geometric Formulas
- Rectangle:
- Perimeter: P = 2l + 2w (where l = length and w = width)
- Area: A = lw
- Square:
- Perimeter: P = 4s (where s = side length)
- Area: A = s²
- Triangle:
- Angle Sum: A + B + C = 180°
- Area: A = ½bh (where b = base and h = height)
- Right Triangle:
- Pythagorean Theorem: a² + b² = c² (where a and b are legs, and c is the hypotenuse)
- Isosceles Triangle:
- Has two equal sides and two equal angles.
- Equilateral Triangle:
- Has three equal sides and three equal angles.
- Circle:
- Circumference: C = 2πr (where r = radius)
- Area: A = πr²
- Rectangular Solid (Cuboid):
- Volume: V = LWH (where L = length, W = width, and H = height)
- Surface Area: S = 2LW + 2LH + 2WH
- Trapezoid:
- Area: A = ½h(b₁ + b₂) (where h = height and b₁ and b₂ are bases)
- Parallelogram:
- Area: A = bh (where b = base and h = height)
- Right Circular Cylinder:
- Volume: V = πr²h (where r = radius and h = height)
- Surface Area: SA = 2πr² + 2πrh
- Sphere:
- Volume: V = 4/3πr³ (where r = radius)
- Surface Area: SA = 4πr²
Other Formulas
- Temperature Conversion:
- Celsius to Fahrenheit: C = 9/5(F - 32)
- Distance, Rate, Time:
- d = rt (where d = distance, r = rate, and t = time)
- Simple Interest:
- I = Prt (where I = interest, P = principal, r = rate, and t = time in years)
- Percent:
- p = br (where p = percent, b = base, and r = rate)
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