document.write( "Question 82576: What is the size, in degrees, of the angle subtended by an arc of 1 2/3 ft in a circle whose radius is 45 in.? \n" ); document.write( "

Algebra.Com's Answer #59183 by josmiceli(19441) $\"\"$ $\"About$

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First, find how many inches around (circumference) is the
\n" ); document.write( "entire circle. Use formula $\"C+=+2%2Api%2Ar\"$
\n" ); document.write( " $\"C+=+2%2A3.141%2A45\"$
\n" ); document.write( " $\"C+=+282.7\"$ in
\n" ); document.write( "How long is the arc in inches?
\n" ); document.write( " $\"1.667%2A12+=+20\"$ in
\n" ); document.write( "Find ratio of arc to circumference
\n" ); document.write( " $\"20+%2F+282.7+=+.0708\"$
\n" ); document.write( "There are 360 degrees in a circle
\n" ); document.write( "arc in degrees / 360 = .0708
\n" ); document.write( "arc in degrees = .0708 * 360
\n" ); document.write( " $\".0708%2A360+=+25.47\"$ degees answer \n" ); document.write( "

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