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Correct Answer: D
Correct Answer: D
Method / Topic: Mensuration
The answer uses the formula that matches the figure and target quantity.
Short Explanation
Detailed Explanation
Correct Answer: D
Method / Topic: Mensuration
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">A quadrant is one-fourth of a complete circle. Its area is πr²/4. Substituting r=14 cm and π=22/7 gives area=(22/7×14×14)/4=616/4=154 cm². The option 616 cm² is the area of the full circle, while 308 cm² represents half the circle. Therefore, dividing the complete circular area by four is essential.</span></td>
</tr>
</tbody>
</table>
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Shortcut used, common trap, and the fastest solving route
- Fix the shape.
- Choose the matching formula.
- Substitute values with units.
Find the area of a quadrant of radius 14 cm using π=22/7.
Explanation
Correct Answer: D
Method / Topic: Mensuration
The answer uses the formula that matches the figure and target quantity.
Short Explanation
Detailed Explanation
Correct Answer: D
Method / Topic: Mensuration
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:1px solid #44b3e1; border-left:none; border-right:none; border-top:1px solid #44b3e1; height:20px; vertical-align:top; white-space:normal; width:85px"><span style="color:#000000">A quadrant is one-fourth of a complete circle. Its area is πr²/4. Substituting r=14 cm and π=22/7 gives area=(22/7×14×14)/4=616/4=154 cm². The option 616 cm² is the area of the full circle, while 308 cm² represents half the circle. Therefore, dividing the complete circular area by four is essential.</span></td>
</tr>
</tbody>
</table>
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