The ratio of all lengths is the same. The ratio of the circumferences = ratio of the radii = 2:3
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
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
area = 2pi*r2circumference = 2pi*rThe ratio of their circumferences will be 2pi*r1 /2pi*r2 = r1/r21) r2 = 6pi/2pi = 3. r1 = root(3).2) r = 150pi/2pi = 75. r2 = root(75)So the ratio of their circumferences isr1/r2 = root(3)/root(75)
3^3 / 5^3 = 27 / 125
The area bounded by an arc of circle and two radii is known as a "circular sector"
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
Their circumferences are in direct proportion to their radii. Their areas are in direct proportion to the square of their radii.
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
gear and pinion (pinion being the smaller of the two gear wheels)
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
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.
729/8
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
It is 8 : 343.
3/4
To find the ratio of the circumferences of two circles with areas 6π m² and 150π m², we first calculate their radii. The radius ( r ) of a circle can be found using the formula for area ( A = \pi r^2 ). For the first circle, ( A = 6\pi ) gives ( r_1 = \sqrt{6} ), and for the second circle, ( A = 150\pi ) gives ( r_2 = \sqrt{150} ). The circumferences are ( C_1 = 2\pi r_1 = 2\pi \sqrt{6} ) and ( C_2 = 2\pi r_2 = 2\pi \sqrt{150} ). Thus, the ratio of the circumferences is ( \frac{C_1}{C_2} = \frac{\sqrt{6}}{\sqrt{150}} = \frac{\sqrt{6}}{5\sqrt{6}} = \frac{1}{5} ).
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.