# Is circumscribed about circle A?

Category:
science
space and astronomy

In geometry, the

**circumscribed circle**or circumcircle of a polygon is a**circle**that passes through all the vertices of the polygon. The center of this**circle**is called the circumcenter and its radius is called the circumradius. Not every polygon has a**circumscribed circle**.

Beside this, what is a circumscribed shape?

A **circumscribed** figure is a **shape** drawn outside another **shape**. For a polygon to be inscribed inside a circle, all of its corners, also known as vertices, must touch the circle. If any vertex fails to touch the circle, then it's not an inscribed **shape**.

**If**you're given a convex quadrilateral, a

**circle can be circumscribed**about it

**if**and only the quadrilateral is cyclic. The converse is also true, that

**if**the opposite angles of a quadrilateral are supplementary, then the quadrilateral is cyclic.

Correspondingly, how do you construct a circumscribed circle?

**Circumscribe a Circle on a Triangle**

- Construct the perpendicular bisector of one side of triangle.
- Construct the perpendicular bisector of another side.
- Where they cross is the center of the Circumscribed circle.
- Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

The circumradius of a cyclic polygon is the **radius** of the **circumscribed circle** of that polygon. For a **triangle**, it is the measure of the **radius** of the **circle** that circumscribes the **triangle**. Since every **triangle** is cyclic, every **triangle** has a **circumscribed circle**, or a circumcircle.