<Tr> <Td> Parabolic area </Td> <Td> The area between the curve y = h b 2 x 2 (\ displaystyle \, \! y = (\ frac (h) (b ^ (2))) x ^ (2)) and the line y = h (\ displaystyle \, \! y = h) </Td> <Td> 0 (\ displaystyle \, \! 0) </Td> <Td> 3 h 5 (\ displaystyle (\ frac (3h) (5))) </Td> <Td> 4 b h 3 (\ displaystyle (\ frac (4bh) (3))) </Td> </Tr> <Tr> <Td> Parabolic spandrel </Td> <Td> The area between the curve y = h b 2 x 2 (\ displaystyle \, \! y = (\ frac (h) (b ^ (2))) x ^ (2)) and the x (\ displaystyle \, \! x) axis, from x = 0 (\ displaystyle \, \! x = 0) to x = b (\ displaystyle \, \! x = b) </Td> <Td> 3 b 4 (\ displaystyle (\ frac (3b) (4))) </Td> <Td> 3 h 10 (\ displaystyle (\ frac (3h) (10))) </Td> <Td> b h 3 (\ displaystyle (\ frac (bh) (3))) </Td> </Tr> <Tr> <Td> General spandrel </Td> <Td> The area between the curve y = h b n x n (\ displaystyle y = (\ frac (h) (b ^ (n))) x ^ (n)) and the x (\ displaystyle \, \! x) axis, from x = 0 (\ displaystyle \, \! x = 0) to x = b (\ displaystyle \, \! x = b) </Td> <Td> n + 1 n + 2 b (\ displaystyle (\ frac (n + 1) (n + 2)) b) </Td> <Td> n + 1 4 n + 2 h (\ displaystyle (\ frac (n + 1) (4n + 2)) h) </Td> <Td> b h n + 1 (\ displaystyle (\ frac (bh) (n + 1))) </Td> </Tr> <Tr> <Td> Circular sector </Td> <Td> </Td> <Td> 2 r sin ⁡ (α) 3 α (\ displaystyle (\ frac (2r \ sin (\ alpha)) (3 \ alpha))) </Td> <Td> 0 (\ displaystyle \, \! 0) </Td> <Td> α r 2 (\ displaystyle \, \! \ alpha r ^ (2)) </Td> </Tr>

List of centre of mass of different shapes