If the area of a circle is 154 square units, what is the radius of the circle? (

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Question: If the area of a circle is 154 square units, what is the radius of the circle? (Use π = 22/7)

Options:

Correct Answer: 7 units

Solution:

Area = πr². 154 = (22/7)r². Solving gives r² = 154 * 7 / 22 = 49, so r = 7 units.

If the area of a circle is 154 square units, what is the radius of the circle? (Use π = 22/7)

If the area of a circle is 154 square units, what is the radius of the circle? (Use π = 22/7)

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) and the value of π (22/7) into the formula: 154 = (22/7)r².
Step 3: To eliminate the fraction, multiply both sides of the equation by 7: 154 * 7 = 22r².
Step 4: Calculate 154 * 7, which equals 1078. Now the equation is 1078 = 22r².
Step 5: Divide both sides of the equation by 22 to solve for r²: r² = 1078 / 22.
Step 6: Calculate 1078 / 22, which equals 49. Now we have r² = 49.
Step 7: To find the radius (r), take the square root of 49: r = √49.
Step 8: Calculate the square root of 49, which is 7. Therefore, the radius of the circle is 7 units.

Area of a Circle – Understanding the formula for the area of a circle (A = πr²) and how to manipulate it to find the radius.
Substitution and Simplification – Applying the given value of π and performing arithmetic operations to isolate the variable.