Describe the locus of points that are 12 cm from point B.
a segment 24 cm long
a circle with a radius of 12 cm
a sphere with a radius of 12 cm
a sphere with a radius of 24 cm
2007-10-17 12:58:03 · 3 answers · asked by Ryan S 1 in Science & Mathematics ➔ Mathematics
Imagine a white paper, with a point dotted on it. Label this point B. Now, look at the space, that is 12 cm away from B. At every point 12 cm from B, put a dot.
After an infinite amount of time, you will get a shape. What is this shape? Well, it's a circle!
Since the distance of the circumference from the centre is 12 cm, this is the radius. So, the locus of the points 12 cm from a point B is a circle with radius 12 cm.
Locus means the path made up of points that fulfill a particular condition. In this case, the points must fulfill the condition that they are 12 cm from B. So, when these points "join" together, they form a path (aka locus) which has a shape of a circle.
2007-10-17 13:30:02 · answer #1 · answered by Anonymous · 1⤊ 0⤋
I'm sorry you have to deal with such a poorly worded question. (Unless there's a picture that makes it clear that you didn't share with us.)
The answer is either a circle or sphere of radius 12 cm. Which of the two it is depends on whether you're operating in 2 dimensions or 3.
Actually, a circle is just a "two-dimensional sphere" anyway.
If it's really unclear in context, the safer answer is "sphere".
2007-10-20 10:20:45 · answer #2 · answered by Curt Monash 7 · 1⤊ 0⤋
it depends in what space you live in eh? locus of points that are 12 cm from point B means collection of points. a line/curve is a collection of points. also a surface is a collection of points. what do you think is a collection of points that are all equidistant from the center?
2007-10-17 20:02:08 · answer #3 · answered by keyahnoo 2 · 0⤊ 0⤋