The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area =
<span>
<span>
<span>
36,643.59
</span>
</span>
</span>
/ 2
area =
18,321.8 square millimeters
Answer:
76,050 ft²
Step-by-step explanation:
If the area must be rectangular, let L be the length of the side opposite to the creek, and S be the length of the remaining two sides.
The perimeter of the fencing and the area of the pasture are:
The value of S for which the derivate of the area function is zero is the length of S that maximizes the area of pasture:
The maximum possible area is:
The area of a trapezoid can be found by the formula:
A = [(B + b) × h] / 2
where:
B = major base = 36 in
b = minor base = 30 in
h = height = 24 in
Therefore, with the given data you can calculate the area by applying the formula:
<span>A = [(36 + 30) × 24] / 2
= [66 </span><span>× 24] / 2
= 792 in</span>²
Hence, the area of the trapezoid is 792 in<span>².</span>
Answer:
-3 and -8
Step-by-step explanation:
Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.
If a+b=-11, a=-11-b.
ab=-24
(-11-b)b=-24
b²+11b+24=0
(b+3)(b+8)=0
b=-3, b=-8
a=-11-b=-11+3=-8
a=-11-b=-11+8=-3
So the numbers are -3 and -8
