Radius

About Radius

A radius is a line segment connecting the centre of a circle or sphere to its perimeter. From the centre to any point on the circumference of the circle or sphere, the radius is the same length. It is half of the diameter's length.

What do you mean by Radius?

The radius is a line segment that connects the centre of a circle or sphere to its perimeter or boundary in geometry. It is commonly abbreviated as 'r' and is an integral part of circles and spheres. The plural of radius is "radii," which is used when discussing multiple radiuses at once. The diameter is the longest line segment in a circle or sphere connecting any points on the opposite side of the centre, while the radius is half the diameter's length. It can be written as d/2, where d is the circle or sphere's diameter.

Radius Formulas

Radius Formula from Diameter:A straight line passing through the centre and connecting a point on one end to a point on the other end of the circle is called the diameter. The radius is twice as long as the diameter. Diameter = 2r, radius(r) is the mathematical formula. It is also the circle's longest chord. When the diameter of a circle is known, the radius formula is as follows:

Radius = Diameter/2 or D/2 units

Radius Formula from Circumference:The circumference of a circle is its perimeter. The formula C = 2πr units can be used to express the circle's boundaries. The diameter of the circle is C, the radius of the circle is r, and the constant is 3.14159. The radius is equal to the circumference divided by two. The radius formula for a circle's circumference is as follows:

Radius = Circumference/2π or C/2π units

Radius Formula with Area:The area of a circle is the amount of space it takes up. The formula Area of the circle = r2 square units describes the link between radius and area. The radius r is equal to 3.14159, and the constant is equal to 3.14159. The radius formula utilising a circle's area is as follows:

Radius = √(Area/π) units

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Radius

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