The area of the square is 9 in^2
The side of a square is the square root of the area.
Side of square = √9 = 3 inches.
The side of the square is the diameter of the inscribed circle.
Circumference of a circle is PI x diameter.
Circumference of inscribed circle = 3.14 x 3 = 9.42 inches
The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426
The circumference = 3.14 x 3√2 = 13.321
Find the ratio between the two circles:
Circumscribed / inscribed =
13.321 / 9.42 = 1.41
Answer:
A=P(1+
100
R
)
n
A=10000(1+0.1)
3
=13310
Step-by-step explanation:
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R - radius of the larger circle
r - radius of the smaller circle
Circumference of the larger circle =

Circumference of the smaller circle =

Part 2: During one complete rotation of the larger gear both gears pass the same distance

.
Therefore, the smaller gear makes

complete rotations.
Part 1: During one complete rotation of the smaller gear both gears pass the same distance

.
Therefore, the larger gear makes

of a complete rotation.
Since one complete rotation corresponds to 360 degrees, 1/4 of a complete rotation corresponds to 360/4=90 degrees.
15% means 0.15 .
'of' means 'times'.
The problem is (0.15) x (63.2) .
I think you can take over and do it from there.
Health Sciences or Teacher Prep?
Answers are B, C & E.