The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Answer:
The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.
Step-by-step explanation:
P = 36in // perimeter of triangle
P = A + B + C //equation for perimeter of a triangle
A = B or B = A //Showing that two sides are equal in length
A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side
C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side
Solve for C //First we solve for the shortest side as it's easiest
36 = A + B + C
36 = 2C + 2C + C //Use substitution for A and B
36 = 5C
C = 7.2in
Solve for A
A = 2C
A = 2(7.2) //Use what we solved for C
A = 14.4in
Solve for B
B = A
B = 14.4in //Same as A
Check Work
P = A + B + C
P = 14.4 + 14.4 + 7.2
P = 36
Answer:
Given expression has the value 69
Step-by-step explanation:
Given equation is:
Now we have to put x = 3
So the equation will become:
By simplifying:
As 
and 2*3 = 6
So the above equation will become:
So the value of given expression is 69.
i hope it will help you!
With using pie 31415.93 with 3.14 close to that
