What is a sector in a sphere?
In geometry, a spherical sector is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap.
What is TSA and CSA of sphere?
Surface area (TSA) = CSA = 4πr2. Hemisphere : Curved surface area(CSA) = 2 π r2. Total surface area = TSA = 3 π r2.
What is total surface area of sphere?
The total surface area of a sphere = 4 π r2 square units.
What is the area of the sector?
Sector area formula The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
What is a part of a sphere called?
In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.
Why is the surface area of a sphere?
The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh where h=2r .
What is sphere class 9?
A sphere is a three dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the centre of the sphere. Half of Sphere is called Hemisphere. Surface Area of a Sphere = 4 π r2, where r is the radius of the sphere.
Why is the surface area of a sphere total?
It is perfectly symmetrical, and has no edges or vertices. So, a sphere is a geometrical object in three-dimensional space. So, the total surface area of the sphere is 4πr2.
What is the volume and surface area of a sphere?
A sphere is a perfectly round geometrical 3-dimensional object. A sphere with radius r has a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.
How to calculate the surface area of a spherical sector?
The total surface area of a spherical sector is equal to the area of the zone plus the sum of the lateral areas of the bounding cones. Total surface area = Zone + Lateral area of bounding cones A = A z o n e + A 1 + A 2 A = 2 π R h + π a R + π b R
What is the surface area of a sphere?
Spherical Sector. A spherical sector is a portion of a sphere defined by a conical boundary with apex at the center of the sphere. The curved surface area of the spherical sector (on the surface of the sphere, excluding the cone surface) is: A = 2πRh Total surface area (including the cone surface): A = πR(2h+r)
When is a sector called a spherical cone?
If the axis of revolution is one of the radial sides, the sector thus formed is spherical cone; otherwise, it is open spherical sector. Spherical sector is bounded by a zone and one or two conical surfaces. The spherical sector having only one conical surface is called a spherical cone, otherwise it is called open spherical sector.
Which is a part of the sphere limited by cone?
Spherical sector. Spherical sector is a part of sphere limited by cone with apex at the sphere center.