If the area of a circle is 50.24 cm², what is the radius?

₹0.0

Question: If the area of a circle is 50.24 cm², what is the radius?

Options:

Correct Answer: 5 cm

Solution:

Area = πr², so r = √(Area/π) = √(50.24/π) ≈ 4 cm.

If the area of a circle is 50.24 cm², what is the radius?

If the area of a circle is 50.24 cm², what is the radius?

Step 1: Write down the formula for the area of a circle, which is Area = πr².
Step 2: We know the area is 50.24 cm², so we can set up the equation: 50.24 = πr².
Step 3: To find r², we need to isolate it. Divide both sides by π: r² = 50.24 / π.
Step 4: Now, we need to calculate 50.24 / π. Use the value of π (approximately 3.14) to do this: r² ≈ 50.24 / 3.14.
Step 5: Calculate the result: r² ≈ 16.00.
Step 6: To find r, take the square root of r²: r = √16.00.
Step 7: Calculate the square root: r = 4 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 Root Calculation – Finding the radius involves taking the square root of the area divided by π.