Area and Circumference of a Circle A circle is a plane figure with no corners or edges, and its circumference is the total length of its curved boundary. The...
A circle is a plane figure with no corners or edges, and its circumference is the total length of its curved boundary. The area of a circle is the amount of space inside the circle, and its perimeter is the total length of its curved perimeter.
Area:
The area of a circle is pi times the radius squared.
For example, if the radius of a circle is 5 cm, its area would be pi times 5 cm^2 = 78.5 cm^2.
Circumference:
The circumference of a circle is 2 times pi times the radius.
For example, if the radius of a circle is 5 cm, its circumference would be 2 times pi times 5 cm = 31.4 cm.
Examples:
The area of a circle with a radius of 3 cm is 9π cm^2.
The circumference of a circle with a radius of 2 cm is 12π cm.
Applications:
The area and circumference of a circle are used in various applications, including:
Calculating the area of leaves in plants and the surface area of buildings.
Calculating the distance to the center of a circle.
Determining the volume of a sphere (a 3D shape shaped like a ball)