Question Video: Identifying the Radii of a Given Circle Mathematics • 11th Grade

Identify all the radii of circle ๐‘€.

01:31

Video Transcript

Identify all the radii of circle ๐‘€.

Thereโ€™s a few things we should think about here. The first thing is that when we name a circle circle ๐‘€, itโ€™s indicating to us that the point ๐‘€ is the center of the circle. We also need to think about what is meant by radii. Radii is the plural form of the radius of a circle, and a radius is the distance from the center to the circumference of a circle. And the circumference is the outside edge of the circle. This means weโ€™re looking for any line that starts at the center and goes out to the outside edge of the circle.

We see that here from ๐‘€ to ๐บ, which makes line segment ๐‘€๐บ a radius, we can start at the center ๐‘€ and move out to the point ๐น, which makes the line segment ๐‘€๐น a radius. The same thing is true if we start at the center ๐‘€ and move out to the point ๐ธ, which makes line segment ๐‘€๐ธ a radius. ๐น๐บ cannot be a radius of the circle as it does not start or end at the center. Itโ€™s also worth noting that the line segment ๐น๐ธ goes through the point ๐‘€ and we call that a diameter of the circle. However, the two segments that make up the diameter are both radii. For this circle ๐‘€, the three radii we see are ๐‘€๐บ, ๐‘€๐น, and ๐‘€๐ธ.

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