Cross Sectional Area Of A Sphere

A perfectly conducting sphere of projected cross sectional area 1 m 2 i e.

Cross sectional area of a sphere. Cross sectional area as explained in a physics class i once had is the area of the shadow something would cast if light was shined from above. Note that for radar wavelengths much less than the diameter of the sphere rcs is independent of frequency. A diameter of 1 13 m will have an rcs of 1 m 2.

Thus the answer for its cross sectional area would be pi r 2. A cross section of any object is an intersection of a plane with that three dimensional object with the plane being perpendicular to the longest axis of symmetry passing through it. The cross section of a sphere formed by a plane intersecting the sphere at an equator is a circle of the same radius as that of the sphere itself as may be seen from picture below.

D diameter of sphere. The surface area of a sphere is four times the area of the largest cross sectional circle called the great circle. Cross sectional area of a sphere any theoretical plane placed through a sphere will result in a circle think about this for a few moments.

Hence the area of the cross section is πr2 π 112 121π 121 3 1416. If you know either the diameter or the circumference of the circle the cross section forms you can use the relationships c 2πr and a πr 2 to obtain a solution. Calling this distance d the area is a pi.

R radius of sphere. For a sphere the shadow would take the form of a circle. The cross section area of a sphere is a circle with the same radius as the sphere.

The area of this plane of intersection is known as the cross sectional area of the object.