Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

_ Units

9.423

Step-by-step explanation:

Using 3.141 as Pi

Using the Arc length equation:

Arc length =

As the angle of the missing section is 90 degrees, and all angles around a point must be 360 degrees, it leaves 360-90 = 270 degrees for the angle.

As the radius is 2, the diameter is twice the length of the radius so 2*2 = 4 so the diameter is 4.

3.141 * 4 = 12.564

270/360 = 0.75

12.564 * 0.75 = 9.423

So 9.423 is the arc length.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!