I tried to do these but I keep getting stuck. I have no clue what to do. I know I'm trying to solve these wrong because somehow I got a negative answer for the 2nd one. Please help and show how to solve these. I don't understand. Sorry. Thank you in advance.
C. Total area of wheel = pi * r^2 (be aware...you are given DIAMETER 24" r = 12" )
Fraction of total area represented by ABC is 40/360
so area is pi * 122 * 40/360 = ~ 50 in2
A Perimeter of ENTIRE circle (360o ) from point A to point B is only 45 degrees...or a fraction of 360 : 45/360
formula for ENTIRE perimeter of a circle is pi * diameter
so distance is 45/360 * (pi * diameter) = 45/360 (pi) ( 1200) =~ 471 ft
B. First, ya have to find the value of 'x'
there are 360o in a circle
in this circle, there is 90o + 45o + 3x + 2x = 360o So x = 45o and 2x = 90 degrees
90 degrees is a fraction of 360o 90/360
Total area of circle = pi * r2
so the shaded area is 90/360 * pi * (82) =~ 50.26 in2
C. Total area of wheel = pi * r^2 (be aware...you are given DIAMETER 24" r = 12" )
Fraction of total area represented by ABC is 40/360
so area is pi * 122 * 40/360 = ~ 50 in2