The area of a 60-degree sector of a circle is 36π cm^2. what is the diameter of the circle? explain too, .

Unsimplified:   cm

Simplified: cm

Rounded to nearest tenths:  29.4 cm

Rounded to nearest hundredths: 29.39 cm

Rounded to nearest thousandths:  29.394 cm

Rounded to nearest ten-thousandths: 29.3939 cm

Step-by-step explanation:

The area of a circle with radius,, is .

Since we have a 60 degree sector with radius then we have   of the area of a circle with radius .

That is we have the following for the area of a 60 degree sector:

Reduce the fraction:

We have that this equals .

This implies .

Multiply both sides by 6:

If you take the square root of both sides, you get:

The radius only makes sense to be positive so we can throw the negative out.

.

So the radius is .

The diameter is twice the radius.  Our diameter is therefore .

We should really go ahead and attach the units.

The answer is cm.

We can simplify this.

853.3

step-by-step explanation:

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.