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What is the length of the radius of a circle if its area is 100π cm²?

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Question: What is the length of the radius of a circle if its area is 100π cm²?

Options:

  1. 10 cm
  2. 5 cm
  3. 20 cm
  4. 15 cm

Correct Answer: 10 cm

Solution: 

Using the area formula A = πr², we set 100π = πr², leading to r² = 100, thus r = 10 cm.

What is the length of the radius of a circle if its area is 100π cm²?

Practice Questions

Q1
What is the length of the radius of a circle if its area is 100π cm²?
  1. 10 cm
  2. 5 cm
  3. 20 cm
  4. 15 cm

Questions & Step-by-Step Solutions

What is the length of the radius of a circle if its area is 100π cm²?
  • Step 1: Write down the formula for the area of a circle, which is A = πr².
  • Step 2: Substitute the given area (100π cm²) into the formula, so it becomes 100π = πr².
  • Step 3: To simplify, divide both sides of the equation by π. This gives you 100 = r².
  • Step 4: Now, to find the radius (r), take the square root of both sides. So, r = √100.
  • Step 5: Calculate the square root of 100, which is 10. Therefore, the radius is 10 cm.
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