Stadium Shape Calculator
Solve for the area and perimeter of a stadium (a rectangle with semi-circular ends). Perfect for measuring running tracks or indoor rinks.
Area = (π × r²) + (2 × r × a)
Perimeter = (2 × π × r) + (2 × a)
If Radius = 10 and Length = 50: Area = (π * 100) + (2 * 10 * 50) ≈ 1314.16
What is a stadium geometric shape?
A stadium is a two-dimensional geometric shape constructed of a rectangle with two semicircles at opposite ends. It is also known as a discorectangle.
How do I calculate the area of a stadium?
The area is the sum of the rectangle area and the area of the two semicircles (which make one full circle). Formula: Area = (π × r²) + (2 × r × a), where r is the radius and a is the length of the straight side.
How do I calculate the perimeter of a stadium?
The perimeter is the sum of the two straight sides and the circumference of the two semicircles. Formula: Perimeter = (2 × π × r) + (2 × a).
Where are stadium shapes commonly found?
The shape is most commonly used for athletic tracks, ice hockey rinks, and some types of capsules or pills.
🔗 Related Calculators
📐 Formula
Area = (π × r²) + (2 × r × a)
Perimeter = (2 × π × r) + (2 × a)
📝 Example Calculation
If Radius = 10 and Length = 50: Area = (π * 100) + (2 * 10 * 50) ≈ 1314.16
❓ Frequently Asked Questions
What is a stadium geometric shape?▼
A stadium is a two-dimensional geometric shape constructed of a rectangle with two semicircles at opposite ends. It is also known as a discorectangle.
How do I calculate the area of a stadium?▼
The area is the sum of the rectangle area and the area of the two semicircles (which make one full circle). Formula: Area = (π × r²) + (2 × r × a), where r is the radius and a is the length of the straight side.
How do I calculate the perimeter of a stadium?▼
The perimeter is the sum of the two straight sides and the circumference of the two semicircles. Formula: Perimeter = (2 × π × r) + (2 × a).
Where are stadium shapes commonly found?▼
The shape is most commonly used for athletic tracks, ice hockey rinks, and some types of capsules or pills.