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What is the surface area of a soccer ball that has 12 pentagons and 20 hexagons?
Wiki User
∙ 11y ago
A regulation size 5 soccer ball has a circumference between 68 and 70 centimeters. This translates into a surface area between 1471.865 cm2 and 1559.718 cm2.
Wiki User
∙ 11y ago
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What is the surface area of a soccer ball with a diameter of 22cm?
Surface area = 4*pi*112 = 1520.531 cm2 rounded to 3 d.p.
Why square is the unit of area?
That is easier to define than an area based on circles, triangles, or pentagons.
How many different hexagons with the area of 16 square units?
Infinitely many
What is the surface area of a soccer ball that has a circumference of 28 inches?
First find the radius by dividing 28 by 2*pi which is 4.456338407. Surface area = 4*pi*4.4563384072 = 249.5549508 or about 250 square inches.
What is the surface area of a soccer ball with a diameter of 22 cm?
1520.531 square cm rounded to 3 d.p.
How do you find the area of a pentagonal prism?
A prism is a 3-dimensional figure, which has a volume, so I presume you mean surface area. The simple answer is you find the area of each face (both pentagons and all 5 parallelograms), and then add them together. If you don't know how to find the area of one or more of the faces, that is a separate question.
Can 3 congruent regular hexagons be drawn to create 10 distinctive area?
Yes.
What is the surface area of a size 5 soccer ball?
The circumference of a Size five soccer ball is 27-28 inches according to the rules of soccer. (FIFA RULE BOOK)Now if C= the circumference, we know that C=2Pi(r), where r is the radius and Pi is the constant Pi which we approximate with 3.14. You may use 22/7 if you prefer.(If you want a better approximation, consider using Pi = 3.14159265, however, it does not make sense to use Pi to 4 or 5 significant digits if the measurement of the circumference is not even close to that accurate. That is why we did not do so here.)The surface area of a sphere is 4Pir2 . A soccer ball is NOT a sphere, but this is a good approximation. (In reality it is a truncated icosahedron which is made up of regular pentagons and regular hexagons. Once you add the air to the ball, it becomes close enough to a sphere to use a spherical model as an excellent approximation. Once could easily calculate the area of 1 of the hexagons and 1 of the pentagons and find the surface area exactly. It might be fun to do so and compare to the answer using the sphere!)So first we find that ( C2 /4Pi2 )=r2This come from taking C=2Pi(r) which is the definition of circumference of a sphere and dividing both sides by 2xPi givingC/2Pi =r, then square both sides and you have ( C2 /4Pi2 )=r2 . Now substitute that into the formula for surface area.SA= 4Pir2 =4Pi( C2 /4Pi2 ).Now note that the 4 cancel as does one of the Pi'sso we haveSA=C2 /Pi=272 /3.14 approximately 232.2 square inches. This is about 1.6 square feet.Now if we use C=28 we have about 249.682 square inches which is 1.7 square feet.So the answer is between 1.6 and 1.7 square feet.Method 2We can also start with circumference C=27- 28 inches.and C=2Pi(r) as mentioned above.So r=14/Pi or about 4.456 inches. This is the radius of the soccer ball.Now Surface area is 4XPiXr2 = 4xPix4.4562this is 249.55 square inches.Using 27 instead of 28 we have r=4.29718and Surface area is 4xPix4.297182 =232.048 square inches.When we convert 249.55 to square feet by dividing by 144 square inches per square foot, we get 1.7 square feet ( 1.73299) and for 232.048 we get 1.6 (1.61144). So the answer is the same. There are some rounding errors and the problem can be redone to any degree of accuracy needed.The advantage of Method 1 is that you find a formula for the SA, the surface area by using the circumference. This method will allow you to plug in the circumference for a size 4 ball, for example and find its area right away. Method 2 requires you to find the radius give the circumference. This works well too, but you need to find r each time C changes.
Why can't you use regular pentagons to tile an area?
Because There is always the little sliver that it doesnt cover
What is the surfqace area of a cylinder?
It is the surface area of the two ends plus the surface area of the curved surface. Surface area of each end is pir2 Surface area of the curved surface is 2pirh Total surface area = 2pir2 + 2pirh
