document.write( "Question 1140826: The area of a circle is 5 pi and an arc 3 cm long cuts off a sector with an angle of theta subtended at the centre. Find theta \n" ); document.write( "

Algebra.Com's Answer #761337 by josmiceli(19441) $\"\"$ $\"About$

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$\"+A+=+pi%2Ar%5E2+\"$
\n" ); document.write( " $\"+pi%2Ar%5E2+=+pi%2A5+\"$
\n" ); document.write( " $\"+r%5E2+=+5+\"$
\n" ); document.write( " $\"+r+=+sqrt%285%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Find the circumference:
\n" ); document.write( " $\"+C+=+2%2Api%2Ar+\"$
\n" ); document.write( " $\"+C+=+2%2Asqrt%285%29%2Api+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+3%2F%28+2%2Asqrt%285%29%2Api+%29+=+theta+%2F+%28+2%2Api+%29+\"$
\n" ); document.write( " $\"+theta+=+3%2Fsqrt%285%29+\"$
\n" ); document.write( " $\"+theta+=+1.3416+\"$ radians
\n" ); document.write( "---------------------------------
\n" ); document.write( "In degrees:
\n" ); document.write( " $\"+theta+%2F+%28+2%2Api+%29+=+1.3416+%2F+6.2832+\"$
\n" ); document.write( " $\"+%28+1.3416+%2F+6.2832+%29%2A360+=+.2135%2A360+\"$
\n" ); document.write( " $\"+.2135%2A360+=+76.8678+\"$ degrees
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "check the math and get a 2nd opinion if needed
\n" ); document.write( " \n" ); document.write( "

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