The radius of a circle can be calculated from measurements of the length L of a chord and the distance h from the chord to the circumference of the circle from h the equation R = +-. Calculate the radius and its uncertainty from the 2h 2 following values of L and h. (a) L = (125.0 ± 5.0) cm, h = (0.51 ± 0.22) cm (b) L = (125.0 ± 5.0) cm, h = (57.4 ± 1.2) cm %3D

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
Question
The radius of a circle can be calculated from measurements of the length L of a
chord and the distance h from the chord to the circumference of the circle from
the equation R=
h
Calculate the radius and its uncertainty from the
2h 2
following values of L and h.
(a) L = (125.0 ± 5.0) cm, h = (0.51 ± 0.22) cm
(b) L = (125.0 ± 5.0) cm,
h = (57.4 ± 1.2) cm
Transcribed Image Text:The radius of a circle can be calculated from measurements of the length L of a chord and the distance h from the chord to the circumference of the circle from the equation R= h Calculate the radius and its uncertainty from the 2h 2 following values of L and h. (a) L = (125.0 ± 5.0) cm, h = (0.51 ± 0.22) cm (b) L = (125.0 ± 5.0) cm, h = (57.4 ± 1.2) cm
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