Calculators, Formulas and Work with Steps - getcalc.com

What is the Area & Perimeter of Ellipse for a = 9 & b = 7

Ellipse CalculatorThe Area and Perimeter of Ellipse is 197.9203 and 50.6567 respectively for ellipse having major axis a is 9 and minor axis b is 7, refer the calculation summary and work with steps for detailed explanation.
Calculation Summary
Major Axis (a)9 in
Minor Axis(b)7 in
Area A197.9203 in²
Perimeter P50.6567 in

Work with Steps to find Area and Perimeter of Elipse for a = 9 & b = 7

Question:
Find what is the area & circumference of an ellipse whose radius of major axis is 9 inches and the radius of minor axis is 7 inches?
Workout :
step1 Address the formula, input parameters and values
Majaor Axis a = 9 in
Minor Axis b = 7 in
Area of Ellipse A = πab
Circumference P = 2πa² + b²/2

step 2 Apply the values in area formula
Area = π x 9 x 7 in²
= 3.14159265 x 9 x 7 in²
Area = 197.9203 in²

step 3 Apply a and b values in cicumference formula
Circumference P = 2π(9² + 7²) in²/2

= 2π (81 + 49) in²/2

= 2π (130) in²/2

= 2 x π x √(65) in²

= 2 x 3.14159265 x 8.0623 in
Cicumference = 50.6567 in

Calculators and Calculations