A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
accompanying figure. Write the area of the sector. A as a function of

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

solve for r

step 2

Find the value of s

substitute the value of r

step 3

we know that

The area of complete circle is equal to

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

substitute the value of r

Convert to function notation

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step-by-step explanation:

step-by-step explanation: