#1
What is the formula to calculate the area of a rectangle?
length * width
ExplanationMultiply the length by the width.
#2
Which of the following shapes has the formula A = πr^2 to calculate its area?
Circle
ExplanationArea of a circle is calculated by squaring the radius and multiplying by π.
#3
What is the formula to calculate the area of a parallelogram?
base * height
ExplanationMultiply the base by the height.
#4
Which of the following shapes has the formula A = s^2 to calculate its area?
Square
ExplanationThe area of a square is calculated by squaring the length of one of its sides.
#5
What is the formula to calculate the area of a rhombus?
diagonal1 * diagonal2
ExplanationMultiply the lengths of the diagonals and then divide by 2.
#6
Which of the following shapes has the formula A = 1/2 * base * height to calculate its area?
Triangle
ExplanationArea of a triangle is half the product of its base and height.
#7
What is the formula to calculate the area of a triangle?
1/2 * base * height
ExplanationMultiply half of the base by the height.
#8
Which of the following is NOT a method to calculate the area of a circle?
πr * circumference
ExplanationThis formula doesn't calculate the area of a circle; it's for calculating the circumference.
#9
What is the formula to calculate the area of a sector of a circle?
(θ/360) * πr^2
ExplanationMultiply the fraction of the circle's circumference by the area of the full circle.
#10
Which of the following is the formula to calculate the lateral area of a cylinder?
2πrh
ExplanationMultiply the circumference of the base by the height.
#11
What is the formula to calculate the area of a kite?
1/2 * (diagonal1 + diagonal2)
ExplanationAdd the lengths of the diagonals and then divide by 2.
#12
Which of the following is the formula to calculate the area of a sector of a circle given the radius and the central angle in radians?
(θ/2) * r^2
ExplanationMultiply half of the central angle by the area of the full circle.
#13
What is the formula to calculate the area of a trapezoid?
1/2 * (base1 + base2) * height
ExplanationAdd the lengths of the bases, multiply by the height, and then halve the result.
#14
What is the formula to calculate the area of a regular polygon?
1/2 * perimeter * apothem
ExplanationMultiply half of the perimeter by the apothem.
#15
What is the formula to calculate the surface area of a cone?
πr^2 + πrl
ExplanationCalculate the area of the base and add it to the lateral surface area.
#16
What is the formula to calculate the surface area of a sphere?
4πr^2
ExplanationMultiply the square of the radius by 4π.
#17
What is the formula to calculate the volume of a cone?
1/3 * πr^2h
ExplanationMultiply one-third of the area of the base by the height.