Answer:
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.