Determine the centerline distance between hole A and hole B for these values.407E FK27°1.300 RADIUS63°09 1101° 214°O86°HA1DxPMBCO4.500y4.500 RRADIUS xa. Radius x 5 8.0000 and DO 5 2.1000. b. Radius x 5 1.2000 and DO 5 0.7000.D1xHOLE B **Problem 26: Centerline Distance Calculation**Determine the centerline distance between hole A and hole B for the following values:a. Radius $ x = 8.000'' $ and $ DO = 2.100'' $.b. Radius $ x = 1.200'' $ and $ DO = 0.700'' $.**Diagram Explanation:**The diagram shows a circle with radius $ x $ and two holes labeled A and B. The center point of the circle is marked as $ O $. The dashed line, labeled $ D $, represents the centerline distance between holes A and B. An offset distance, $ DO $, is marked from the vertical centerline extending to the right, along the dashed line.

To determine the centre line distance between hole A and hole B. Let 'O' be the centre of circle. And 'x' be the radius of the circle. Given the line from centre to chord AB is perpendicular => it divides the chord AB equally. h We have centres of the holes on the circle and let it be A and B Redrawing the image of the given circle, Since OD is perpendicular bisector of AB, => AB = 2 AD Applying Pythagoras theorem to ∆AOD, AO2 = OD2 + AD2 => AD2 = AO2 - OD2 => AD = √(x2 - OD2) => Centre line distance = AB = 2 √(x2 - OD2) a) For x = 8.000" And OD = 2.100" => AB = 2 √(64 - 4.41) => Centre line distance = 15.439" b) For x = 1.200" And OD = 0.700" => AB = 2 √(1.44 - 0.49) = 20.975 => Centre line distance = 1.95"

Answered: 26. Determine the centerline distance…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Determine the centerline distance between hole A and hole B for these values.

407

E FK

27°

1.300 RADIUS

63°09 1

101° 214°

86°

B
C

4.500

4.500 R

RADIUS x

a. Radius x 5 8.0000 and DO 5 2.1000. b. Radius x 5 1.2000 and DO 5 0.7000.

HOLE B

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26. Determine the centerline distance between hole A and hole B for these values. HOLE B a. Radius x = 8.000" and DO = 2.100". b. Radius x = 1.200" and D0 = 0.700". HOLE A RADIUS x