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Symmetry in a Circle. A circle is symmetrical about any of its diameter. By symmetrical, we mean that the circle can be divided into two congruent parts by any of its diameter. Look at the figure given below! The circle with center O is symmetrical about its diameter AB.
21 lis 2021 · These are very useful properties to understand as it will be helpful in application for solving certain types of questions related to circles. In this note, you will learn: Symmetric Properties of Circles, Perpendicular bisector of chord, Equal chords, Tangent perpendicular to radius and Equal tangents.
Review symmetrical shapes and lines of symmetry. Then, try some practice problems.
A circle is a two-dimensional shape characterized by a fixed distance, called the radius, which is measured from the center point to any point on the circle. Symmetry is a mathematical concept that describes when two figures are virtually identical in shape and size.
Example 1. FINDING THE EQUATION OF A CIRCLE. Find an equation for the circle having radius 6 and center at (− 3,4). Graph the circle. This circle is shown in Figure 3.29. Its equation can be found by using the distance formula. Let (x,y) be any point on the circle. The distance from (x,y) to (− 3,4) is given by. √[x-(− 3)]2+(y-4)2=√(x+3)2+(y-4)2.
Radius, Diameter and Circumference. The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle. And here is the really cool thing:
In geometry, symmetry describes the balance a figure has. A figure or object has symmetry if a transformation (s) maps it back onto itself. Both plane and space figures may have symmetry. There are three basic types of symmetry: reflection, rotation, and point symmetry.
