document.write( "Question 59619: two distinct, nonparallel lines are tangent to a circle. the measurement of the angle between the two lines is 54 (angle QVP)\r
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document.write( "a. Suppose the diameter of the circle is 2 cm. What is the distance VP?
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document.write( "b. Suppose the distance VP is 3.93cm. What is the diameter of the circle?
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document.write( "c. Find a formula for d, the diameter of the circle, in terms of VP.
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document.write( "d. Find a formula for VP in terms of d, the diameter of the circle. \n" );
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Algebra.Com's Answer #40978 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! two distinct, nonparallel lines are tangent to a circle. the measurement of the angle between the two lines is 54 (angle QVP) \n" ); document.write( "a. Suppose the diameter of the circle is 2 cm. What is the distance VP? \n" ); document.write( "b. Suppose the distance VP is 3.93cm. What is the diameter of the circle? \n" ); document.write( "c. Find a formula for d, the diameter of the circle, in terms of VP. \n" ); document.write( "d. Find a formula for VP in terms of d, the diameter of the circle. \n" ); document.write( "HOPE YOU MEAN P & Q ARE ON THE CIRCLE AND VP AND VQ ARE TANGENTS \n" ); document.write( "ASSUMING THAT,LET C BE CENTRE OF CIRCLE.THEN VCP IS A RIGHT ANGLED TRIANGLE. \n" ); document.write( "ANGLE VPC=90 \n" ); document.write( "ANGLE PVC = ANGLE PVQ/2 = 54/2 =27 \n" ); document.write( "CP=D/2..WHERE D IS DIAMETER OF CIRCLE.\r \n" ); document.write( "\n" ); document.write( "a. Suppose the diameter of the circle is 2 cm. What is the distance VP? \n" ); document.write( "TAN(27)=CP/VP \n" ); document.write( "CP=2/2=1 \n" ); document.write( "VP=1/TAN(27)=1.964\r \n" ); document.write( "\n" ); document.write( "b. Suppose the distance VP is 3.93cm. What is the diameter of the circle? \n" ); document.write( "TAN(27)=CP/3.93 \n" ); document.write( "DIAMETER =2*CP=2*3.93*TAN(27)= 4 CM\r \n" ); document.write( "\n" ); document.write( "c. Find a formula for d, the diameter of the circle, in terms of VP. \n" ); document.write( "D=2*VP*TAN(27)\r \n" ); document.write( "\n" ); document.write( "d. Find a formula for VP in terms of d, the diameter of the circle. \n" ); document.write( "VP = D/[2TAN(27)] \n" ); document.write( " |