Draw the given answers to determine the correct solution.
ΔABE is correct because it is a right triangle through a diagonal
ΔABD is incorrect because it does not go through diagonals.
ΔADH is incorrect because it does not go through diagonals.
ΔACE is incorrect because it does not go through the interior of the cube.
Answer: ΔABE
<h3>
Answer: 18.8</h3>
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
- FA = unknown horizontal leg = x
- FG = vertical leg = 6.1
- AG = hypotenuse = 11.2
We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
- FG is a perpendicular bisector for AE
- DG is a perpendicular bisector for EC
Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
804.25
Step-by-step explanation:
The area of a circle = pi(r)^2
Given the diameter, we can find the radius by dividing the diameter in half.
r=16
pi(16)^2 = 804.25
The equation of the circumference of a circle in terms of 
is 
or 
.
The circumference for a circle with diameter 10 is 
.
The circumference for a circle with diameter 19 is 
.
The circumference for a circle with diameter 30 is 
.
The circumference for a circle with diameter 16 is 
.
Relatively easy, right?
The equation of the area of a circle in terms of is 
.
The area of a circle with radius 5 is 
.
The area of a circle with radius 9.5 is 
.
The area of a circle with radius 15 is 
.
The area of a circle with radius 8 is 
.
Hope this helped!
(By the way, I don't know why you're using hard formulas for trying to find the radius or diameter. The diameter is simply twice the radius, and the radius is simply half the diameter.)
