We need to determine the radius and diameter of the circle. If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,
A = 10 pi in^2 = pi*r^2. Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.
Thus, the diam. of the circle is 2sqrt(10) in. This diam. has the same length as does the hypotenuse of one of the triangles making up the square.
Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square. So, 4(10) in^2 = 2x^2. Then:
40 in^2 = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20). The area of the square is the square of this result:
Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer). Compare that to the 10 pi sq in area of the circle (31.42 in^2).
Answer:
4000
Step-by-step explanation:
5000 * .8 is 4000
This is geometric with a common ratio of 3 (3/1 = 3 and 9/3 = 3 etc)
the formula for the nth term is
an = 3^(n-1)
Answer:
185553.7 feet^3
Step-by-step explanation:
Myles ran 2 times what alison ran:
2x21 = 42
Hector ran 5 times as many miles as Myles:
42x5 = 210
therefore Hector ran 210 miles.
