Długość Okręgu. Pole Koła

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| By Hbasaj

Hbasaj

Community Contributor

Quizzes Created: 1 | Total Attempts: 280

Questions: 9 | Attempts: 280 | Updated: Mar 20, 2023

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Dugo Okrgu. Pole Koa - Quiz

Test dla klasy 2 gimnazjum

Questions and Answers

1.

Jaką długość ma okrąg o średnicy 2?
- A.
  
  2 * 3,14
- B.
  
  2
- C.
  
  4
- D.
  
  4 * 3,14
Correct Answer
B. 2

Explanation
The question asks for the length of a circle with a diameter of 2. The formula to calculate the circumference of a circle is 2 * π * r, where r is the radius. In this case, the diameter is given, so we can divide it by 2 to get the radius. Therefore, the radius is 1. Plugging this value into the formula, we get 2 * 3.14 = 6.28. However, none of the options provided match this value. The only option that matches the correct answer is 2, which is incorrect based on the given information. Therefore, the correct answer is not available.

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0
1
2.

Koło o promieniu 10 i kwadrat mają taki sam obwód. Jaką długość ma bok kwadratu?
- A.
  
  5
- B.
- C.
  
  10
- D.
  
  2,5
Correct Answer
A. 5

Explanation
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. Since the circumference of the circle is equal to the perimeter of the square, we can set up the equation 2π(10) = 4x, where x is the length of one side of the square. Simplifying this equation, we get 20π = 4x. Dividing both sides by 4, we find that x = 5. Therefore, the length of one side of the square is 5.

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3.

Jaki promień ma koło, które na drodze 100 m obróciło się 25 razy?
- A.
  
  Około 20 cm
- B.
  
  Około 1,3 m
- C.
  
  Około 80 cm
- D.
  
  Około 0,6 m
Correct Answer
D. Około 0,6 m

Explanation
The circumference of a circle is calculated by multiplying the radius by 2π. In this case, the circle has rotated 25 times along a distance of 100m. To find the radius, we can divide the distance traveled by the number of rotations. 100m divided by 25 rotations gives us 4m. However, this is the circumference of the circle. To find the radius, we need to divide the circumference by 2π. 4m divided by 2π is approximately 0.6366m, which is approximately equal to 0.6m. Therefore, the correct answer is approximately 0.6m.

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4.

Jaką długość ma promień koła o polu równym

Correct Answer
1,1 m
1,1m
1,1 metra
1,1metra
5.

Koło roweru o promieniu 0,4 m wykonało podczas jazdy 1000 obrotów. Jaką drogę pokonał rower w tym czasie?

Correct Answer
800 π m
800πm
800 π metrów
800 pi metrów

Explanation
The circumference of the bike wheel can be calculated using the formula C = 2πr, where r is the radius of the wheel. In this case, the radius is given as 0.4 m. Therefore, the circumference is C = 2π(0.4) = 0.8π m. Since the bike made 1000 rotations, the total distance traveled is 1000 times the circumference, which is 1000 * 0.8π = 800π m.

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1
4 0
6.

Ile karnawałowych opasek o średnicy 10 cm można wykonać z jednego metra wstążki?

Correct Answer
3 opaski
3opaski
3

Explanation
Based on the given information, we know that one meter of ribbon is available. Since the diameter of each carnival headband is 10 cm, we can calculate the circumference of each headband using the formula C = πd, where d is the diameter. In this case, the circumference would be approximately 31.4 cm. Therefore, we can divide the length of the ribbon (100 cm) by the circumference of each headband (31.4 cm) to find out how many headbands can be made. The result is approximately 3 headbands. Hence, the correct answer is 3 opaski, 3opaski, 3.

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4
7.

Liczba jest liczbą niewymierną.
- A.
  
  Prawda
- B.
  
  Fałsz
Correct Answer
A. Prawda

Explanation
The given statement is in Polish and it translates to "Number is an irrational number." The correct answer is "Prawda" which means "True" in English. This suggests that the statement is true and the number mentioned is indeed an irrational number.

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8.

Obwód koła jest razy większy od jego średnicy.
- A.
  
  Prawda
- B.
  
  Fałsz
Correct Answer
A. Prawda

Explanation
The statement is true because the circumference of a circle is always equal to pi times its diameter. Since the diameter is twice the length of the radius, the circumference is always approximately three times the length of the diameter. Therefore, the circumference is always greater than the diameter of a circle.

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9.
- A.
  
  Jedną
- B.
  
  Dwie
- C.
  
  Trzy
- D.
  
  Więcej niż trzy
Correct Answer
C. Trzy

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Current Version
Mar 20, 2023

Quiz Edited by
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Sep 20, 2013

Quiz Created by
Hbasaj

Długość Okręgu. Pole Koła

Jaką długość ma okrąg o średnicy 2?

Koło o promieniu 10 i kwadrat mają taki sam obwód. Jaką długość ma bok kwadratu?

Jaki promień ma koło, które na drodze 100 m obróciło się 25 razy?

Jaką długość ma promień koła o polu równym

Koło roweru o promieniu 0,4 m wykonało podczas jazdy 1000 obrotów. Jaką drogę pokonał rower w tym czasie?

Ile karnawałowych opasek o średnicy 10 cm można wykonać z jednego metra wstążki?

Liczba jest liczbą niewymierną.

Obwód koła jest razy większy od jego średnicy.