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If a circle has an area of 50π cm², what is the radius of the circle?

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Question: If a circle has an area of 50π cm², what is the radius of the circle?

Options:

  1. 5 cm
  2. 10 cm
  3. 7 cm
  4. 8 cm

Correct Answer: 10 cm

Solution: 

Area = πr², so r² = 50, r = √50 ≈ 7.07 cm.

If a circle has an area of 50π cm², what is the radius of the circle?

Practice Questions

Q1
If a circle has an area of 50π cm², what is the radius of the circle?
  1. 5 cm
  2. 10 cm
  3. 7 cm
  4. 8 cm

Questions & Step-by-Step Solutions

If a circle has an area of 50π cm², what is the radius of the circle?
  • Step 1: Write down the formula for the area of a circle, which is Area = πr².
  • Step 2: Substitute the given area (50π cm²) into the formula: 50π = πr².
  • Step 3: Divide both sides of the equation by π to simplify: 50 = r².
  • Step 4: To find the radius (r), take the square root of both sides: r = √50.
  • Step 5: Calculate the square root of 50, which is approximately 7.07 cm.
  • Area of a Circle – The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.
  • Square Roots – Finding the radius involves taking the square root of the area divided by π.
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