The distance from the center of circle to the point that lies on the circle is called as radius.
The [tex]\boxed{\bf option 3}[/tex] is correct.
Further explanation:
A circle is the set of all points on the plane whose distance from a fixed point is constant.
There are infinite points on the circle and distance of these points from the center of circle is always constant.
The distance from the center of the circle to any point on the circle is called as radius of the circle. From attached Figure 1 it is observed that there are many points on the circle and a fixed point on the center of the circle.
The distance of the fixed point from the many points on the circle is same as shown in attached Figure 2.
Option (1): Area
Area is defined as the total surface or the extent to which the circle is extended.
Therefore, the option (1) is incorrect.
Option (2) : Circumference
The circumference is the total length of the circle and the formula for the circumference of a circle is,
[tex]\boxed{C=2\pi r}[/tex] …… (1)
Here, [tex]r[/tex] is the radius of the circle.
Therefore, the option (2) is incorrect.
Option (3): Radius
The distance from the center of the circle to any point on the circle is called as radius of the circle.
Therefore, option (3) is correct.
Option (4) : Diameter
The diameter of the circle is the straight line that passes through the center of the circle.
The diameter of the circle is calculated as follows:
[tex]\boxed{d=2r}[/tex]
Here, [tex]r[/tex] is the radius of the circle.
Therefore, the option (4) is incorrect.
Learn more:
1. A problem on circle https://brainly.com/question/1952668
2. A problem on radius of circle https://brainly.com/question/1506955
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Circle
Keywords: Circle, radius of a circle, point, distance, diameter,n circumference, area, straight line, same, fixed point, A=pir^2, plane, constant, infinite points.
