# Surface Area & Volumes

## Area of Frustum of Cone – Formula and Derivation

Here you will learn formula for the total surface area and curved surface area of frustum of cone with derivation and examples. Let’s begin – What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The …

## Volume of a Frustum of a Cone – Formula and Derivation

Here you will learn formula for the volume of a frustum of a cone with derivation and examples based on it. Let’s begin –  What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The lower …

## Segment of a Circle Area – Formula and Examples

Here you will learn what is the formula for major and minor segment of a circle to find its area with examples. Let’s begin – What is the Segment of a Circle ? A segment of a circle is defined as the part of circle bounded by a chord and the arc. In the figure, …

## Sector of a Circle Area and Perimeter – Formula and Examples

Here you will learn perimeter and area of sector of circle formula with examples. Let’s begin – What is Sector of a Circle ? The region bounded by two radii of a circle and the arc intercepted by them is called a sector of the circle. A sector is measured by the angle which its …

## Formula for Length of Arc of Circle with Examples

Here you will learn what is the formula for length of arc of circle with examples based on it. Let’s begin – What is an Arc ? Arc is a piece of circle. In the figure AB is an arc. The area OAB in the figure is called sector of the circle. Formula for Length …

## Area of a Ring – Formula and Examples

Here you will learn what is the formula for the area of circular ring and examples based on it. Let’s begin – Area of a Ring Let R and r be the outer and inner radii of a ring. Then, area of a ring = $$\pi(R^2 – r^2)$$ Also Read : Area of a Circle …

## Area of a Circle and Semicircle – Formula and Examples

Here you will learn what is the formula for the area of circle and semicircle with examples. Let’s begin – Area of a Circle Formula Area = $$\pi r^2$$ where r is the radius of the circle. Area of Semicircle Formula Area of Semicircle = $${1\over 2} \pi r^2$$ where r is the radius of …

## Formula for Circumference of Circle (Perimeter) – Examples

Here you will learn what is the formula for circumference of circle (perimeter of circle) with examples. Let’s begin – What is Circumference ? The perimeter (boundary) of a circle is called its circumference. It is the distance covered by travelling once around circle. Formula for Circumference of Circle (Perimeter of Circle) Circumference of circle …

## Surface Area of Hemisphere – Formula and Examples

Here you will learn what is the formula for surface area of hemisphere (total and curved surface area of hemisphere) with examples. Let’s begin – What is Hemisphere ? Let us take a solid sphere, and slice it exactly ‘through the middle’ with a plane that passes through its centre. It gets divided into two …

## Volume of Sphere and Hemisphere – Formula and Examples

Here you will learn what is the formula for volume of sphere and hemisphere with examples based on it. Let’s begin –  Formula for Volume of Sphere and Hemisphere (i) Volume of Sphere Formula Volume of sphere = $${4\over 3}\pi r^3$$ where r is the radius of sphere. (ii) Volume of Hemisphere Formula Volume of …