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Geometry 15 Online
OpenStudy (anonymous):

Can someone just confirm if answer is correct for me?

OpenStudy (anonymous):

Radius = 34 feet. Radius = H/2 + W2/8H W = Length of Chord defining base of arc H = Height measured at midpoint of arc’s base (18/2) + (602/8(18)) (9) + (3600/144)

jimthompson5910 (jim_thompson5910):

Draw a circle |dw:1426300498973:dw|

jimthompson5910 (jim_thompson5910):

Draw a chord on the circle |dw:1426300510675:dw|

jimthompson5910 (jim_thompson5910):

the arc that gets cut off is the arc length they want

jimthompson5910 (jim_thompson5910):

Add in a radius such that it is perpendicular to the chord |dw:1426300531071:dw|

jimthompson5910 (jim_thompson5910):

|dw:1426300551258:dw|

jimthompson5910 (jim_thompson5910):

you will then use the intersecting chords theorem to find the radius http://www.mathopenref.com/chordsintersecting.html

jimthompson5910 (jim_thompson5910):

btw, the radius is the perpendicular bisector of the chord, so the chord is broken up into two pieces

jimthompson5910 (jim_thompson5910):

does that help at all, @ck76 ?

OpenStudy (anonymous):

Is the answer 50?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

actually no, sorry

jimthompson5910 (jim_thompson5910):

50 is close, but not quite there

jimthompson5910 (jim_thompson5910):

|dw:1426301149460:dw|

jimthompson5910 (jim_thompson5910):

notice how the distance I marked doesn't quite get to the tip of the circle

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

si I am still confused on what answer should be

OpenStudy (anonymous):

I understand A.B = C.D. So 30 *30 = 18 *x. Not sure where to go from there though.

jimthompson5910 (jim_thompson5910):

well you solved for x to get x = 50 the radius is x+18 = 50+18 = 68

jimthompson5910 (jim_thompson5910):

|dw:1426301715846:dw|

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