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If the area of a circle is 50.24 cm², what is the radius?
Practice Questions
Q1
If the area of a circle is 50.24 cm², what is the radius?
4 cm
5 cm
6 cm
7 cm
Questions & Step-by-Step Solutions
If the area of a circle is 50.24 cm², what is the radius?
Steps
Concepts
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.
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