What is the circumradius of a circle?

What is the circumradius of a circle?

The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. However, regular polygons and regular polyhedra posses a circumradius.

What is a Circles formula?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

How do you escribe a circle?

In geometry, a circle is a perfectly round shape—meaning any point around its curve is the same distance from its central point. Circle commonly refers to anything that’s approximately shaped like this, even if it’s not a perfect circle in geometric terms. The letter O is a circle.

Is it possible to circumscribe a circle about any triangle?

Theorem: A circle can be inscribed in any triangle, i.e. every triangle has an incircle.

What is the unique characteristic of circle?

Circle Properties The diameter of a circle is the longest chord of a circle. Equal chords of a circle subtend equal angles at the centre. The radius drawn perpendicular to the chord bisects the chord. Circles having different radius are similar.

How is the circumference of a circle defined?

It was originally defined as the ratio of a circle’s circumference to its diameter (see second formula below on why) and appears in many formulas in mathematics, physics, and everyday life. In practical situations it is often easier to measure the diameter instead of the radius.

What is the formula for calculating the circumference of a circle?

To calculate the circumference of a circle, use the formula C = πd, where “C” is the circumference, “d” is the diameter, and π is 3.14. If you have the radius instead of the diameter, multiply it by 2 to get the diameter.

Is there such a thing as a circumscribed sphere?

The circumscribed sphere is the three-dimensional analogue of the circumscribed circle . All regular polyhedra have circumscribed spheres, but most irregular polyhedra do not have one, since in general not all vertices lie on a common sphere.

What do you call the distance around a circle?

The distance around a circle is called the circumference. The distance across a circle through the center is called the diameter . is the ratio of the circumference of a circle to the diameter.