If you need to know the 7th, 8th, and 9th terms, the recursive form might be preferred as you need to apply the common difference successively to the next few terms. If you want to know terms, such as those beyond 100,
then the explicit would be preferred
Center of circle is ( 1, 0).
Slope of normal passing though ( 1, 0 ) and ( 2, -5 ) is :
So, slope of tangent will be :
Equation of tangent :
Hence, this is the required solution.
Assuming that bob will use a circle with radius 1 unit,
then the area of the whole circle is A = pi R^2
A = 3.1416(1^2)
A = 3.1416
fraction of auto supplies = 120 / 3000 = 0.04
Area auto supplies = 3.1415(0.04) = 0.1257
formula for of a circular segment
A = 0.5r^2x
where x is the angle in radian
0.1257 = 0.5(1^2)x
x = 0.2513 rad
convert to degrees
x = 0.2513 rad ( 180 /pi)
x = 14.40 degrees
8030000 is 8026310 in 3 significant figures
