Given the radius R (distance from the center to a vertex), the area of a regular pentagon is given by:
R25sin(2pi/5)
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2
So, since the rest of the formula is a constant, to determine the ratio, you just need the ratio of:
52 : 72
= 25 : 49, or 1 : 1.96, or (backwards) 0.51 : 1
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
It is 8 : 343.
3/4
It is 27 : 343.
Ratio of circumference is π : 4π = 1 : 4 This is the ratio of all lengths, therefore their radii are in the ratio of 1:4 also. Ratio of areas is the square of the ratio of length → ratio of their areas is 1² : 4² = 1 : 16
The ratio of all lengths is the same. The ratio of the circumferences = ratio of the radii = 2:3
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
The angular velocities of a pair of coupled gears are inversely proportional to their radii. This means that the gear with a larger radius will rotate more slowly than the gear with a smaller radius. The ratio of their angular velocities is equal to the ratio of their radii.
No. To be similar ALL lengths must be in the same ratio. If two cylinders have the same radii, but different heights then the radii have one ratio (1:1) but the heights have a different ratio; thus they are not similar.
Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167
The circumference of Circle K is ( \pi ), which implies its radius ( r_K ) is ( \frac{1}{2} ). For Circle L, with a circumference of ( 4\pi ), its radius ( r_L ) is ( 2 ). The ratio of their radii is ( \frac{r_K}{r_L} = \frac{1/2}{2} = \frac{1}{4} ). The areas of the circles are proportional to the squares of their radii, so the ratio of their areas is ( \frac{(r_K)^2}{(r_L)^2} = \frac{(1/2)^2}{(2)^2} = \frac{1/4}{4} = \frac{1}{16} ).
If the ratio of the radii is 1:3 then the ratio of volumes is 1:27.
The area of a circle is directly proportional to the square of its radius. If two circles have radii R1 and R2 , then the ratio of their areas is ( R1/R2 )2
729/8
is it 3:5 and 3:5
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.