SOLUTION: 1.(a) describe the locus of points in a plane 3 cm from the points on a circle with radius 8 cm (b) sketch the locus of points for the air valve on the tire of a bicycle as

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Question 1120998: 1.(a) describe the locus of points in a plane 3 cm from the points on a circle
with radius 8 cm
(b) sketch the locus of points for the air valve on the tire of a bicycle as the bicycle moves down a straight path.

Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The locus of points 3 cm from a single point on any circle would be a circle of radius 3 with the given point as a center. Hence the locus of points 3 cm from ANY point on the circle with radius 8 cm would be an annulus with and

One question per post, please.


John

My calculator said it, I believe it, that settles it


Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1.(a) describe the locus of points in a plane 3 cm from the points on a circle
with radius 8 cm
=============
Too vague.
Is the plane parallel to the plane of the given circle?
If not, the radius of the circle is not relevant.
Do you mean 3 cms from any point on the circle?
===============
(b) sketch the locus of points for the air valve on the tire of a bicycle as the bicycle moves down a straight path.
---
Google cycloid, epicycloid, etc.

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