Answer:
42) 122.72 square inches
43) 212.83 additional feet of fabric
Step-by-step explanation:
42)
Diameter = [tex]12\frac{1}{2}[/tex] = 12.5 inches
Radius = (1/2) * Diameter = (1/2) * 12.5 = 6.25 inches
The formula for calculating the area of a circle is π * Radius²
π * Radius²
Substitute radius and pi into formula
3.14159265359 * 6.25²
Solve exponent
3.14159265359 * 39.0625
Multiply
122.7184630309
Round to the nearest hundredth
122.72 square inches
43) Clarissa needs 500 feet of fabric
She has these pieces
3 pieces of fabric that are each 18 yards long
1 piece of fabric that is [tex]16\frac{1}{2}[/tex] yards long
1 piece of fabric that is [tex]75\frac{2}{3}[/tex] feet long
Convert all yard measurements to feet and all fractions to decimals
(1 yard = 3 feet)
3 pieces of fabric that are each 54 feet long
1 piece of fabric that is 49.5 yards long
1 piece of fabric that is 75.67 feet long
Add all lengths
3(54) + 49.5 + 75.67
162 + 49.5 + 75.67 = 287.17
Subtract from 500 to find missing length
500 - 287.17 = 212.83
212.83 additional feet of fabric
Hope this helps :)
