The area of a square is the square of the length of its side. Here, we're told that the side of each square is equal to the radius (r) of the circle. Then the area of each square is
.. Asquare = r^2
There are 3 of them, so their total area is
.. Aall_squares = 3*r^2
The area of a circle is given by the formula
.. Acircle = π*r^2 . . . . . where r represents the radius of the circle
Fernie wants to compare the area of the 3 squares to that of the circle. We know that the value of π is about 3.1416, a little more than 3, so we have
.. Aall_squares = 3*r^2
.. Acircle ≈ 3.1416*r^2
We notice that 3.1416 is more than 3, so the area of the circle is greater than the area of Fernie's 3 squares.
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It is not clear to me that Fernie's drawing will explain the formula A = π*r^2, unless it can somehow be used to show that the parts of each square that are outside the circle add up to an amount that is slightly less than the uncovered part of the circle.
Answer:
Answer A.)45
Step-by-step explanation:
Starting point is P and at R he is 58 miles away from P subtract 13 and you get 45.
Answer:
66
Explanation:
Volume for any prism=base area*height
The base is a triangle and the formula to find the area of a triangle is Area=(base*height)/2. Once we input the values it would look like:
Area=(4*3)/2
A=12/2
A=6
In this case, the height of the prism would be 11. Now we input our values for finding the volume:
Volume for any prism=base area*height
Volume=6*11
Volume=66
I hope this helps! Please comment if you have any questions.
Answer:
6
Step-by-step explanation:
First, list all the factors of both numbers. Factors are numbers that evenly divide into the number.
18:
1, 2, 3, 6, 9, 18
48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor that both numbers have is 6
Answer:
<DEF = 107
Step-by-step explanation:
The way to best solve this problem is by starting with angle F. Remember that all angles in a straight line must add up to 180. So by subtracting 135 from 180 we get 45 for angle F.
180 - 135 = 45
After that, we can figure out the measure of <DEF. All the angles of a triangle must add up to 180. So:
180 - 28 - 45 = 107
Making the answer 107 for the measure of <DEF