What is the radius of a circle if the area is 154 square units? (2023)

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Question: What is the radius of a circle if the area is 154 square units? (2023)

Options:

Correct Answer: 7 units

Solution:

Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.

What is the radius of a circle if the area is 154 square units? (2023)

What is the radius of a circle if the area is 154 square units? (2023)

Step 1: Write down the formula for the area of a circle, which is Area = πr².
Step 2: Substitute the given area (154 square units) into the formula: 154 = πr².
Step 3: Use the approximation for π as 22/7. So, rewrite the equation: 154 = (22/7) * r².
Step 4: To eliminate the fraction, multiply both sides of the equation by 7: 154 * 7 = 22 * r².
Step 5: Calculate 154 * 7, which equals 1078. Now the equation is: 1078 = 22 * r².
Step 6: Divide both sides by 22 to solve for r²: r² = 1078 / 22.
Step 7: Calculate 1078 / 22, which equals 49. Now we have r² = 49.
Step 8: To find r, take the square root of both sides: r = √49.
Step 9: Calculate the square root of 49, which is 7. Therefore, the radius r = 7 units.

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