Hemisphere-Curved Surface Area

The hemisphere’s area of the curved surface is nothing but the occupied space by the surface that is curved. A 3D object’s surface area is described by the object’s surface occupied space. Cutting a sphere from its centre, we get a hemisphere. Generally, the sphere’s half is called a hemisphere. With using and solving some examples, the hemisphere’s area of the curved surface has been discussed. This area is measured in square units such as yd2, m2, ft2, and cm2.

Hemisphere Curved Surface Area

The geometry of two-dimensional basically deals with the plane of x-y. After extending the geometry of two-dimensional, we get the geometry of three-dimensional which deals with x, y, and z axes in the plain of cartesian. A shape of three dimensions has height, length, and breadth. As the sphere’s base is round in shape, the hemisphere’s area of the surface may be easily found. Mostly, the surface area is two types differently that are a curved area of the surface and total area of the surface. The hemisphere’s area of the curved surface is described as the occupied space of the curved surface. To measure and calculate this area, generally, we use square units like ft2, m2, yd2, and cm2. For measuring this area, firstly, the radius of the hemisphere must find out. Then, a formula has to use that is ½ * (sphere’s area of the curved surface), (4 * pi * r2) * 1/2 = 2 * pi * r2, where, the hemisphere’s radius is presented by r. The value of pi is to take for measuring its area is 22/7.

What is the Curved Surface Area of Hemisphere?

The space occupied by the curved surface is basically called the area of the hemisphere’s curved surface. The hemisphere is nothing but the half of a sphere. To measure the surface area of a hemisphere’s curved, a formula (the surface area of a sphere’s curved) * ½ is used by following some steps to make the measurement easily conducted. Implementing three steps, we can easily find this area. Firstly, the hemisphere’s radius is to be identified and it has to give a name like r. Then, apply the formula 2*pi*r2. By putting the value of r in this formula, the value of this area may be found. Finally, the result will be represented in square units. By using an example, the measurement of the surface area will be understood very easily. Suppose, the hemisphere’s radius is given 21 units. We have to find the value of the surface area of the curved. Hemisphere’s radius is 21 units. Then the value will be 2 * pi* r2,the area of the curved surface = 2* 22/7* (21)2, area = 2772 unit2.   

Curved Surface Area of a Hemisphere Formula

As it is known that the hemisphere is the half of a sphere, using an easy and simple formula, the surface area of a hemisphere’s curved may be found. Assume, the hemisphere’s radius is r. 4*pi*r2(½)= CSA is the formula to measure this area that will be applied here for measuring this area. 2*pi*r2 = CSA. In this context, a mistake often happens that the sphere’s total area of its surface is 2*pi*r2but it is assumed as the hemisphere’s surface area. Then, the value of the surface area is presented as false. It must be noted while calculating this area is that a hemisphere presents after cutting a sphere. Therefore, their area is not the same. The area of the circular base is pi*r2. The area of the surface totally is 3*pi*r2, on the other hand, the surface area of the hemispheres curved is 2*pi*r2.  Giving an example, the measuring process may be defined very easily. A sphere is given which radius is 20 units. From this sphere, the surface area of the hemisphere’s curved has to find out. Firstly, from the sphere’s radius, the hemisphere’s radius is to be calculated. It will be 10 units. Then, the formula has to be implemented to get the surface area value of this hemisphere. Putting its value 10 into the formula, 2*pi*r2, the ultimate value will be 628.5714 unit2.

Conclusion

In conclusion, it is to be mentioned that the hemisphere’s surface area of the curved is nothing but the occupied space by its surface. There are two types of the surface area of a hemisphere are ‘total area of surface’ and ‘curved area of surface’. Here, the surface area of curved is discussed with its measurement formula that is 2*pi*r2. To measure this area’s value, firstly, the radius of the hemisphere is to find out. Then, this formula has to be applied to get the ultimate surface area value. In this formula, r represents the radius of the hemisphere, not the sphere. In this context, a mistake always happens. It results in square units.