Perimeter and Area – Formula & Equation Sheet
Essential formulas and equations from Ganita Prakash, tailored for Class 6 in Mathematics.
This one-pager compiles key formulas and equations from the Perimeter and Area chapter of Ganita Prakash. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Formulas
Perimeter of a Rectangle: P = 2 × (l + b)
P is the perimeter, l is the length, and b is the breadth. This formula calculates the total distance around the rectangle. Remember: add both dimensions and double the result.
Perimeter of a Square: P = 4 × s
P is the perimeter, s is the length of one side. Since all sides are equal, multiply the side length by 4 to find the perimeter.
Perimeter of a Triangle: P = a + b + c
P is the perimeter, and a, b, and c are the lengths of the sides. Add the lengths of all three sides to find the perimeter.
Area of a Rectangle: A = l × b
A is the area, l is the length, and b is the breadth. Multiply the length by the breadth to find the area.
Area of a Square: A = s²
A is the area, and s is the length of one side. Square the side length to calculate the area.
Area of a Triangle: A = 1/2 × b × h
A is the area, b is the base, and h is the height. Multiply the base by the height and divide by 2 to find the area.
Circumference of a Circle: C = 2πr
C is the circumference, and r is the radius. This formula finds the distance around the circle; multiply the radius by 2 and π (approx. 3.14).
Area of a Circle: A = πr²
A is the area and r is the radius. Square the radius and multiply by π to find the area.
Total Distance for Multiple Rounds: D = n × P
D is the total distance, n is the number of rounds, and P is the perimeter of the shape. Multiply the perimeter by the number of rounds to calculate the total distance.
Cost of Fencing: C = P × rate
C is the total cost, P is the perimeter, and rate is the cost per meter. To find out how much it will cost to fence an area, multiply the perimeter by the rate.
Equations
P = 2 × (l + b)
This equation expresses the perimeter of a rectangle in terms of its length and breadth. Useful for calculating fencing needs.
P = 4 × s
This formula calculates the perimeter of a square. When all sides are equal, this representation simplifies the calculation.
P = a + b + c
This formula shows how to calculate the perimeter of a triangle using the lengths of all three sides.
A = l × b
This equation defines how to find the area of a rectangle. Useful for determining the space covered by the rectangle.
A = s²
This equation shows how to compute the area of a square by squaring the length of one side.
A = 1/2 × b × h
This formula indicates how to calculate the area of a triangle using its base and height.
C = 2πr
This equation is used to find the circumference of a circle, linking radius to the total circular distance.
A = πr²
This equation enables the calculation of the area of a circle by squaring the radius and multiplying by π.
D = n × P
This formula represents how to find the total distance traveled when making multiple rounds of a shape.
C = P × rate
This equation calculates the total cost incurred for fencing based on the perimeter and cost per meter.
