Our aim is to calculate the Radius so that to use the formula related to the area of a segment of a circle, that is: Aire of segment = Ф.R²/2
Let o be the center of the circle, AB the chord of 8 in subtending the arc f120°
Let OH be the altitude of triangle AOB. We know that a chord perpendicular to a radius bisects the chord in the middle. Hence AH = HB = 4 in
The triangle HOB is a semi equilateral triangle, so OH (facing 30°)=1/2 R. Now Pythagoras: OB² = OH² + 4²==> R² = (R/2)² + 16
R² = R²/4 +16. Solve for R ==> R =8/√3
OB² = OH² +
Answer:
b. 
Step-by-step explanation:
The given geometric series is;

The first term of this series is

The common ratio is

The sum to infinity of this series is

Substitute the given values to obtain;

This implies that;


The azalea is located at point (4, -4). You have already plotted the hydrangea at (4, 6). If you count up the number of squares from the hydrangea to the azalea plant, you will get a distance of 10.
Since the problem tells you the length of each square is 1 ft, then you know that the distance between the two plants is 10 squares * 1 ft/square = 10ft.
It's pretty easy, take the example of this fraction... 
What you do in here is that you note down the <em>factors</em> of 2 and 4 over here.
<u><em>Factors of 2 and 4:</em></u>
2 = 1, 2
4 = 1, 2, 4
Now, you see that the <em>GREATEST</em> Common Factor (GCF) over here is 2.
Now that we see the GCF of 2 and 4 is 2, what you do next is, you have to <u>divide 2 by 2 AND 4</u><u><em>. </em></u>When you do this, you will get your results. 2 = 1 and 4 = 2, now put this in the fraction form again, meaning switch 2 with 1, and 4 with 2 in the fractions... 
So your simplified fraction is
!
The area of the circle is 1260.25 π m^2