Question:
The area of a circle is \( 49\pi \) square cm. Then its diameter is:
The area of a circle is \( 49\pi \) square cm. Then its diameter is:
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The diameter of a circle is always twice the radius.
Updated On: Oct 27, 2025
- \( 7 \) cm
- \( 14 \) cm
- \( 49 \) cm
- \( 21 \) cm
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The Correct Option is D
Solution and Explanation
The area of a circle is given by:
\[ A = \pi r^2 \] \[ 49\pi = \pi r^2 \] Dividing by \( \pi \):
\[ r^2 = 49 \] \[ r = 7 \text{ cm} \] Since the diameter is:
\[ D = 2r = 2 \times 7 = 14 \text{ cm} \]
\[ A = \pi r^2 \] \[ 49\pi = \pi r^2 \] Dividing by \( \pi \):
\[ r^2 = 49 \] \[ r = 7 \text{ cm} \] Since the diameter is:
\[ D = 2r = 2 \times 7 = 14 \text{ cm} \]
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