I have a chords and arcs problem. In circle C, chord AB is 20 inches and 8 inches from the center. Find the length of the radius of the circle to tyhe nearesthundredth.DB

Given data, A circle with center C Chord, AB = 20 inches Distance between the chord and center of…

Answered: In circle C, chord AB is 20 inches and…

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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I need to find the distance of y in the diagram. I've been told that the radius of the circle is 100ft and that the angle theta is 30 degrees. I'm having a hard time setting up my equation. I'm trying to use the pythagorean theorem though I can't find a way to make all of variables in terms of a single variable. Since I know that in a 30-60-90 triangle the hypotuse is equal to 2t, the medium length leg is equal to t(radical 3) and the smallest leg is "t," I've tried setting up the following t=(100+x)/2 for the hypotnuse and t=((14+b)(radical 3))/3 for the meduim length leg. Though, I can't put this into the pythagorean theorem and solve it because I still have two unknown variables. Am I setting the problem up right?
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In circle C, chord AB is 20 inches and 8 inches from the center. Find the length of the radius of the circle to tyhe nearest hundredth. D