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Surface area of a cone is the complete area covered by its two surfaces, i.e., circular base area and lateral (curved) surface area. The circular base area can be calculated using area of circle formula.
To find the curved surface area of a cone, we multiply the radius and slant height of the cone by pi(π), and the formula which is used to find the lateral surface area of a cone is, CSA of cone (LSA of cone) = πrl, where 'r' is the radius of the base and 'l' is the slant height of the cone.
In order to calculate the curved surface area and total surface area of a cone, we divide it into a circular base and the top slanted part. The area of the slanted part gives you the curved surface area.
Aug 3, 2023 · The surface area (total surface area) of a cone is the entire space occupied by the flat circular base of the cone and its curved surface. The surface area is expressed in square units such as m 2, cm 2, mm 2, and in 2. Here we will discuss how to find the surface area of a right circular cone.
Jun 17, 2024 · This surface area of a cone calculator will help you calculate the surface area of any right cone. In the text below, we will show you the surface area of a cone formula and how to derive it. After using our calculator and reading this article, you'll be super confident about how to find the surface area of a cone.
The surface area of a cone is equal to the curved surface area plus the area of the base: \ (\pi r^2 + \pi L r, \) where \ (r\) denotes the radius of the base of the cone, and \ (L\) denotes the slant height of the cone. The curved surface area is also called the lateral area.
Using the formula for the area of a sector, we can get the curved or lateral surface area (LSA) of the cone. \begin {align*} \text {LSA} &= A_ {sector} \\ [1.3em] &= \frac {\text {radius} \cdot \text {arc length}} {2} \\ [1.3em] &= \frac {l \cdot 2 \pi r} {2} \\ [1.3em] &= \pi r l \end {align*} LSA = Asector = 2radius⋅ arc length = 2l ⋅2πr = πrl.
