Given information
The cross sectional area of the arteries is .
The radius of the aorta is .
The speed of the blood in the aorta is .
Step-by-step explanation
According to the equation of continuity, for the incompressible fluid the product of its speed and the cross sectional area of the tube through which the fluid is flowing is a constant.
Therefore, the product of the speed of the blood and cross sectional area of the aorta is equal to the product of the speed of the blood and cross sectional area of the arteries.
The cross sectional area of the aorta is
Here, is the area and is the radius of the aorta.
The formula from the equation of continuity is
Here, is the speed of the blood in the aorta, is the cross sectional area of the arteries and is the speed of the blood in arteries.