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.
</span>
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:
Step-by-step explanation:
so he spends : 1/5 , 1/2 , 1/10.....common denominator of 10
1/5 + 1/2 + 1/10 = 2/10 + 5/10 + 1/10 = 8/10 = 4/5
so he spends 4/5 of his income.
that means he saves : 1 - 4/5 = 5/5 - 4/5 = 1/5 <==
Answer:
32
Step-by-step explanation:
First you're going to change 20% to a decimal which would be 0.20
Next, multiply .20 by 40
You should get 8
Subtract 8 from 40
You're answer is 32
Answer: Elizabeth jogged 5 miles on the first day.
Step-by-step explanation:
16-6= 10
10/2 = 5
I only know number one here you goSolution
Conversion for Km to Miles
1km = 0.621 miles
Conversion Hours to minutes
1 hr = 60 mins
solve
140 (0.621 miles / 60 mins )
= 140 (0.01035 miles/min)
= 1.449 miles/min