What is the area of a sector with a central angle of (2pi/3) radians and a diameter of 12 in?

The area of the sector is

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

we have

----> the radius is half the diameter

substitute

step 2

Find the area of a sector with a central angle of (2pi/3)

Remember that

The area of subtends a central angle of

so

by proportion

Let

x----> the area of the sector

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

d

step-by-step explanation: