Question

What is the measure of the radius of S?

Answer 1

If the question is asking the radius of 'the circle' S, then we need to pick a point on the circle and measure its distance from the center.

In this case, we already have G picked for us and S is the center. So, GS is our radius. It is also written that GS is equal to 6.1. This means the length of the radius of the circle S is 6.1.


Another way of finding it is; as you can see from the picture, YL is a line which goes through the point S or the center. We call those lines a 'diameter'. Diameters also equal to two times of the radius.

So, we know that our diameter is 12.2, when we divide that by 2 we got:
`(12.2)/(2) = 6.1` as our radius.

Answer 2

A diameter is a straight line that crosses a circle and the radius equals the half of this distance. So, in our case, the diameter would be YL which equals 12.2 adn the radius would be:

12.2 / 2 = 6.1

Though you could see it this way, there is still another way of finding the radius. The radius is a straght line that goes from the centre to any point of the circle, which is the same thing as saying that it is half of a diameter:

SG is a line going from the centre (S) to G, which is also equal to 6.1

Hope it helped,

BioTeacher101