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What is the diameter of the circle whose circumference is 66 cm?
  • a)
    18 cm
  • b)
    21 cm
  • c)
    23 cm
  • d)
    28 cm 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the diameter of the circle whose circumference is 66 cm?a)18 c...
Circumference of circle = 66
2πr = 66 where r is radius
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Most Upvoted Answer
What is the diameter of the circle whose circumference is 66 cm?a)18 c...
To find the diameter of a circle, we need to know its circumference. The circumference of a circle is the distance around its outer edge.

Given that the circumference of the circle is 66 cm, we can find the diameter using the formula:

Circumference = π × Diameter

where π is a mathematical constant approximately equal to 3.14.

Let's solve this step by step:

Step 1: Write down the given information:
Circumference = 66 cm

Step 2: Substitute the known values into the formula:
66 cm = 3.14 × Diameter

Step 3: Solve for the diameter:
Diameter = 66 cm / 3.14

Step 4: Calculate the diameter:
Diameter ≈ 21 cm

Therefore, the diameter of the circle is approximately 21 cm.

Explanation:
- The diameter of a circle is a straight line passing through the center of the circle and connecting two points on its circumference.
- The circumference of a circle is the distance around its outer edge.
- To find the diameter, we use the formula Circumference = π × Diameter.
- By rearranging the formula, we can solve for the diameter.
- Substituting the given circumference of 66 cm into the formula, we can calculate the diameter.
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