What is the Area & Perimeter of Ellipse for a = 11 & b = 8
The Area and Perimeter of Ellipse is 276.4602 and 60.4297 respectively for ellipse having major axis a is 11 and minor axis b is 8, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Major Axis (a) | 11 in |
| Minor Axis(b) | 8 in |
| Area A | 276.4602 in² |
| Perimeter P | 60.4297 in |
Work with Steps to find Area and Perimeter of Elipse for a = 11 & b = 8
Question:
What is the area & perimeter of an ellipse, if it has the major axis radius of 11 inches and minor axis radius of 8 inches?
Workout :What is the area & perimeter of an ellipse, if it has the major axis radius of 11 inches and minor axis radius of 8 inches?
step1 Address the formula, input parameters and values
Majaor Axis a = 11 in
Minor Axis b = 8 in
Area of Ellipse A = πab
Circumference P = 2π√a² + b²/2
step 2 Apply the values in area formula
Area = π x 11 x 8 in²
= 3.14159265 x 11 x 8 in²
Area = 276.4602 in²
step 3 Apply a and b values in cicumference formula
Circumference P = 2π√(11² + 8²) in²/2
= 2π√ (121 + 64) in²/2
= 2π√ (185) in²/2
= 2 x π x √(92.5) in²
= 2 x 3.14159265 x 9.6177 in
Cicumference = 60.4297 in
