<p>The area of a circle is 154 (units)\(^2\). Find the radius of the circle (using \(\pi = \dfrac{22}{7}\)):</p>
Step-by-Step Solution
Key Concept: Use the circle area formula A = πr² and solve for r by substituting the given area and value of π. The key is careful algebraic manipulation with the fraction π = 22/7.
<p><strong>Step 1:</strong> Use the formula for the area of a circle: A = πr²</p><p><strong>Step 2:</strong> Substitute A = 154 and π = 22/7:</p><p>154 = (22/7) × r²</p><p><strong>Step 3:</strong> Solve for r² by multiplying both sides by 7/22:</p><p>r² = 154 × (7/22) = (154 × 7)/22 = 1078/22 = 49</p><p><strong>Step 4:</strong> Take the square root of both sides:</p><p>r = √49 = 7</p><p>∴ Answer: <strong>7 units</strong></p>
Correct Answer: 7