Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π? a) 54.00 in2 b) 113.10 in2 c) 169.65 in2 d) 339.29 in2

Step-by-step explanation:

Given that the radius of circle is 18 inches and length of arc is 6π

we have to find the area of sector.

The formula to find the length of arc is

Now, to find the area of sector

Option C is correct

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.