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:
c
Step-by-step explanation:
becouse if you put in the numbers .623 for p and .377 for q and 6 for n and for x you put 4 do the math and you get c
Answer:
You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.
Step-by-step explanation:
Angle 1 + angle 2 = 90
solve for x = ____
Plug the value into each expression to find the measure of each angle.
Answer: Aim: This study aimed to fill an important gap in the predominantly quantitative literature field by exploring how individuals with perfectionism understand the relationship between painful experiences and how they relate to other
Step-by-step explanation:
Given: 5x – 4 + 13x = 5
Combine like terms in the given expression.
⇒ (5x + 13x) – 4 = 5
⇒ 18x – 4 = 5
By addition property of equality, add 4 on both sides to equal to the expression.
⇒ 18x – 4 + 4 = 5 + 4
⇒ 18x = 9
By division property of equality, divide 18 on both sides to equal the expression.
⇒ 
By symmetric property of equality, both sides are equal
⇒ 
Hence,
.