Find Circumference And Area Of A Circle

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| By Mmican

Mmican

Community Contributor

Quizzes Created: 1 | Total Attempts: 661

Questions: 6 | Attempts: 662 | Updated: Mar 21, 2023

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Please use the correct formulas from your Mathematic Chart to answer the following questions.

Questions and Answers

1.

Find the circumference of a circle with a radius of 5 meters.
- A.
  
  30 meters
- B.
  
  40 meters
- C.
  
  50 meters
- D.
  
  60 meters
Correct Answer
A. 30 meters

Explanation
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 5 meters. Substituting this value into the formula, we get C = 2π(5) = 10π meters. Since the value of π is approximately 3.14, the circumference of the circle is approximately 10(3.14) = 31.4 meters. Therefore, the closest answer to the actual circumference is 30 meters.

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2
0
2.

Find the area of a circle with a diameter of 18 meters.
- A.
  
  54 sq. meters
- B.
  
  143 sq. meters
- C.
  
  233 sq. meters
- D.
  
  243 sq. meters
Correct Answer
D. 243 sq. meters

Explanation
The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. Since the diameter is given as 18 meters, the radius is half of that, which is 9 meters. Plugging this value into the formula, we get A = π(9^2) = 81π. Approximating π to 3.14, we find that the area is approximately 254.34 square meters. Therefore, the closest answer is 243 square meters.

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1
0
3.

Find the circumference of a circle with a radius of 12 inches.
- A.
  
  72 meters
- B.
  
  82 inches
- C.
  
  72 inches
- D.
  
  82 meters
Correct Answer
C. 72 inches

Explanation
The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 12 inches. Plugging this value into the formula, we get C = 2π(12) = 24π inches. Since the value of π is approximately 3.14, the circumference is approximately 24(3.14) = 75.36 inches. Therefore, the correct answer is 72 inches.

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4.

A sprinkler can spray water 10 feet in all direction. How much area can the sprinkler water?
- A.
  
  200 sq. feet
- B.
  
  300 sq. feet
- C.
  
  60 sq. feet
- D.
  
  600 sq. feet
Correct Answer
B. 300 sq. feet

Explanation
The sprinkler can spray water in all directions for a distance of 10 feet. This means that the sprinkler can cover a circular area with a radius of 10 feet. The formula to calculate the area of a circle is πr^2, where r is the radius. Therefore, the area covered by the sprinkler is approximately 3.14 * 10^2 = 314 square feet. However, since the options provided are in multiples of 100, the closest option is 300 square feet.

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5.

What is the number of square meters of a half circle whose diameter is 8 meters?
- A.
  
  56
- B.
  
  48
- C.
  
  12
- D.
  
  24
Correct Answer
D. 24

Explanation
The number of square meters of a half circle can be found by calculating the area of the corresponding full circle and then dividing it by 2. The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the diameter is given as 8 meters, so the radius is 4 meters. Plugging this value into the formula, we get A = π(4^2) = 16π. Dividing this by 2, we get 8π. Since the value of π is approximately 3.14, the area of the half circle is approximately 8(3.14) = 25.12 square meters. The closest option to this value is 24, which is the correct answer.

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6.

Find the circumference of a circle with a diameter of 25.
- A.
  
  150
- B.
  
  50
- C.
  
  75
- D.
  
  0
Correct Answer
C. 75

Explanation
The circumference of a circle can be found by multiplying the diameter by pi (π). In this case, the diameter is given as 25. So, the circumference would be 25 * π. Since an approximate value of π is 3.14, the circumference would be approximately 78.5. However, the closest option to this value is 75, so that would be the correct answer.

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Dec 03, 2009

Quiz Created by
Mmican

Find Circumference And Area Of A Circle

Find the circumference of a circle with a radius of 5 meters.

Find the area of a circle with a diameter of 18 meters.

Find the circumference of a circle with a radius of 12 inches.

A sprinkler can spray water 10 feet in all direction. How much area can the sprinkler water?

What is the number of square meters of a half circle whose diameter is 8 meters?

Find the circumference of a circle with a diameter of 25.