How to Calculate the Volume of a Circle Formula + Example Problem

Formula.co.id – For this article we will learn how to calculate the volume of a circle. Previously we already knew what a circle was because since elementary school we have learned what is called a circle because that's why without the need to linger again, let's discuss together about the formula for the volume of a circle and later it will be accompanied by an example of the volume of a circle as a learning material for para reader.

Definition of Circle

The definition of a circle itself is a set of all points on a plane that are equidistant from a fixed point in the plane. Then the fixed point is called the center of the circle, and the distance from a point on the circle to its center is called the radius of the circle.

To be clearer about the meaning of the circle itself, here we will explain in detail the elements of a circle, please pay attention to the circle image below:

Circle Elements

1. The center of a circle is a point located in the middle of the circle.
2. circle radius ( r ) is a line from the center of the circle to the curvature of the circle.
3. Diameter ( d ) is a straight line connecting 2 points on the curvature of a circle passing through the center.
4. An arc of a circle is a curved line that lies on the curve of a circle that connects any 2 points on the curve.
5. A circular chord is a straight line in a circle that connects 2 points on the curvature of the circle.
6. A slope is an area in a circle bounded by an arc and a chord.
7. A radius is an area in a circle bounded by 2 radii of the circle and an arc that is enclosed by the two radii of the circle.
8. An apothem is a line that connects the center of a circle with the chord of the circle. The line is perpendicular to the chord of the circle.

Continue to discuss the properties of circles.

Characteristics of Circles

1. A circle has only 1 side.
2. A circle has infinite rotational symmetry.
3. A circle has infinite symmetry and axes.
4. But a circle has no vertices.

Circle Volume Formula

For more detail, formula.co.id will discuss all the formulas for a circle, whether it's the area, circumference, and volume formula of the circle itself. For more details about the formula, consider the explanation of the formula below:

Circle Volume Formula:

V = x r²

Circumference of a Circle Formula:

K = 2 x x r

Circle Area Formula:

L = x r²

Information :

• = 22/7 or 3.14
• r = radius (cm)

You need to know the above formula for area and volume is the same, but to find the volume the number must be in the same unit, namely in cubic units or (cm)³ ). Moving on to the last discussion, formula.co.id will give you all an example of a circle problem so that you all understand more about the circle formula.

Example of a Circle

1. If a circle has a diameter of 80 cm, what is the area of ​​the semi-circle?

Answer:

Known = d = 80 cm

r = 80 cm: 2 = 40 cm

Asked = area of ​​semi circle?

Area of ​​Semicircle = x r²

= 3.14 x 40 cm x 40 cm: 2

= 3.14 x 40 cm x 40 cm: 2

= 2512 cm²

So, the area of ​​the semi-circle is 2,512 cm²

1. A circle has a radius of 14 cm, what is the circumference of the circle?

Answer:

Known = r = 14 cm

Asked = circumference of circle?

Perimeter = K = 2. π. r

= 2 x 22/7 x 14 cm

= 88 cm

So, the circumference of the circle is 88 cm

Thus the complete mathematical material about the circle, whether it's understanding, elements, properties, examples of problems, and the formula for the volume of a sphere circle that can be conveyed, may be useful ...

Other Formulas:

• Block Volume Formula
• Cylinder Volume Formula