Illustration Shows Three Circles Traced Out by a Figure Skater $A = 10 , B = 18 , C = 20$

question 32

Multiple Choice

Illustration shows three circles traced out by a figure skater during her performance.If the centers of the circles are the given distances apart, find the radius of each circle.
$A = 10 , B = 18 , C = 20$

• A) \(\quad r _ { 1 } = 4 , r _ { 2 } = 6 , r _ { 3 } = 14\)
• B) \(\quad r _ { 1 } = 3 , r _ { 2 } = 6 , r _ { 3 } = 15\)
• C) \(\quad r _ { 1 } = 4 , r _ { 2 } = 14 , r _ { 3 } = 6\)
• D) \(\quad r _ { 1 } = 14 , r _ { 2 } = 4 , r _ { 3 } = 6\)
• E) \(\quad r _ { 1 } = 6 , r _ { 2 } = 14 , r _ { 3 } = 4\)

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Definitions:

Addendum

An addition or supplement to a document, or the radial distance between the pitch circle of a gear and the top of the teeth.

Gear Climbing

A situation in machinery where a gear tooth attempts to climb over another instead of engaging smoothly, often due to misalignment or high force application.

Tooth Contact Pattern

A diagnostic method used to check the alignment and contact of gear teeth in mechanical systems, indicating wear patterns or misalignments.

Torque

A measure of the force that can cause an object to rotate about an axis, often used in context with engines and mechanical devices.