Question:
If the area of a circle is $154$ cm$^2$, what is its circumference?
If the area of a circle is $154$ cm$^2$, what is its circumference?
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Find radius from area using $\pi r^2$, then compute circumference with $2\pi r$.
Updated On: Jul 29, 2025
- 22 cm
- 44 cm
- 66 cm
- 88 cm
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The Correct Option is B
Solution and Explanation
- Step 1: Area of circle = $\pi r^2 = 154$. Using $\pi \approx \frac{22}{7}$, $\frac{22}{7} r^2 = 154 \implies r^2 = 154 \times \frac{7}{22} = 49 \implies r = 7$.
- Step 2: Circumference = $2\pi r = 2 \times \frac{22}{7} \times 7 = 44$ cm.
- Step 3: Verify: Area = $\frac{22}{7} \times 7^2 = 154$, matches.
- Step 4: Check options: Option (2) is 44 cm, correct.
- Step 2: Circumference = $2\pi r = 2 \times \frac{22}{7} \times 7 = 44$ cm.
- Step 3: Verify: Area = $\frac{22}{7} \times 7^2 = 154$, matches.
- Step 4: Check options: Option (2) is 44 cm, correct.
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