document.write( "Question 380529: An aluminum plate is made according to the following dimensions. The outer radius is 8 inches and the inner radius is 4 inches. (See diagram below) Use π = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate (the shaded region)? (b) If the cost to construct the plate is $6.50 per square inch, what is the construction cost? (Area = ∏ r2 ). \n" ); document.write( "
Algebra.Com's Answer #270107 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The area of shaded portion = area of larger circle - area of smaller circle. \n" ); document.write( "larger circle \n" ); document.write( "radius = 8 \" \n" ); document.write( "Area = pi*8*8 \n" ); document.write( "area = 64 pi \n" ); document.write( "... \n" ); document.write( "Area of inner circle = pi*4*4 \n" ); document.write( "area = 16pi \n" ); document.write( ".. \n" ); document.write( "difference = 64pi-16pi \n" ); document.write( "=48pi \n" ); document.write( "=48*3.14 \n" ); document.write( "=150.72 in^2 is the shaded area \n" ); document.write( ".. \n" ); document.write( "1 in^2 = $6.50 \n" ); document.write( "150.72in^2= 150.72*6.50 \n" ); document.write( "=$ 979.68 is the cost \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |