| h |
| 3 |
| bh |
| 2 |
| 4r |
| 3π |
| 4r |
| 3π |
| πr2 |
| 4 |
| 4r |
| 3π |
| πr2 |
| 2 |
| 3a |
| 8 |
| 3h |
| 5 |
| 2ah |
| 3 |
| 3h |
| 5 |
| 4ah |
| 3 |
| 3a |
| 4 |
| 3h |
| 10 |
| ah |
| 3 |
| 2r sin θ |
| 3θ |
| 2r |
| π |
| 2r |
| π |
| πr |
| 2 |
| 2r |
| π |
| r sin θ |
| θ |
| Centroids of Common Shapes of Areas and Lines |
| shape | schematic |
|
| Area | ||||||
| triangle | ----- |
|
| |||||||
| quarter-circle area | ----- |
|
|
| ||||||
| semicircle area | ----- | 0 |
|
| ||||||
| semiparabolic area | ----- |
|
|
| ||||||
| parabolic area | ----- | 0 |
|
| ||||||
| parabolic spandrel | ----- |
|
|
| ||||||
| wedge from a circle | ----- |
| 0 | θr2 | ||||||
| quarter circle arc | ----- |
|
|
| ||||||
| semicircle arc | ----- | 0 |
| πr | ||||||
| arc of circle | ----- |
| 0 | 2θr |