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# Circles

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3   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.

Oct 1, 2019

#3
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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

Oct 1, 2019

#1
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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

Oct 1, 2019
#2
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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

Oct 1, 2019
#3
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