Give a definition for the radius of a circle. Are there other terms that need to be defined first? What are they,and how might you define them?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Definition of the radius of a circle:
The distance from the center to a point on the circle is called the radius of the circle. In the figure,$P$ is the center and $Q$ is a point on the circle,then the line segment $PQ$ is the radius.
Other terms that need to be defined first:
$1$. Circle: $A$ circle is the set of all points in a plane that are at a fixed distance from a fixed point in the plane.
$2$. Center: The fixed point from which all points on the circle are at a fixed distance is called the center of the circle.
$3$. Point: $A$ point is that which has no part.
$4$. Plane: $A$ plane is a surface which lies evenly with the straight lines on itself.

Explore More

Similar Questions

If $A$,$B$ and $C$ are three points on a line,and $B$ lies between $A$ and $C$ (see figure),then prove that $AB + BC = AC$.

Give a definition for square terms. Are there other terms that need to be defined first? What are they,and how might you define them?

Which of the following statements are true and which are false? Give reasons for your answers.
$(i)$ Only one line can pass through a single point.
$(ii)$ There are an infinite number of lines which pass through two distinct points.
$(iii)$ $A$ terminated line can be produced indefinitely on both the sides.
$(iv)$ If two circles are equal,then their radii are equal.
$(v)$ In the figure,if $AB = PQ$ and $PQ = XY,$ then $AB = XY$.

Consider the following statement: There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a direct consequence of Euclid's fifth postulate? Explain.

In the figure,if $AC = BD$,then prove that $AB = CD$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo