Question:
The area of a circle is 154 cm². Find its radius.
The area of a circle is 154 cm². Find its radius.
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Use $\pi r^2 = \text{area}$ and approximate $\pi \approx 3.14$ for circle problems.
Updated On: Jul 31, 2025
- 5 cm
- 6 cm
- 7 cm
- 8 cm
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The Correct Option is C
Solution and Explanation
- Step 1: Area formula. Area = $\pi r^2$. Given: $154 = \pi r^2$.
- Step 2: Solve. $r^2 = \frac{154}{\pi} \approx \frac{154}{3.14} \approx 49.04$. $r \approx \sqrt{49} = 7$.
- Step 3: Verify. If $r = 7$, area = $\pi \cdot 7^2 = 3.14 \cdot 49 \approx 153.86 \approx 154$.
- Step 4: Conclusion. Option (3) 7 cm is correct.
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