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What is the area of a circle with a radius of 14 cm? (Use pi = 22/7)
616┬аcm2
308┬аcm2
154┬аcm2
1232┬аcm2
616┬аcm2
Use the 1:44:154 rule: If radius is 7, area is 154. If radius is 14 (which is 2 imes 7), area becomes 154 * (2┬▓) = 154 * 4 = 616.
Radius of the circle r = 14 cm, Constant value of pi = 22/7.
Area=╧Аr2
Use the 1:44:154 rule: If radius is 7, area is 154. If radius is 14 (which is 2 imes 7), area becomes 154 * (2┬▓) = 154 * 4 = 616.
A frequent mistake is using the formula for circumference (2 * ╧А * r) instead of the area formula, or failing to square the radius correctly.
Identify the formula
To find the area of a circle, use the standard formula where r is the radius.
A=╧Аr2
Substitute the values
Plug the given radius r = 14 and pi = 22/7 into the area formula.
A=722тАЛimes14imes14
Calculate the area
Simplify the expression by dividing 14 by 7 to get 2, then multiply: 22 * 2 * 14 = 44 * 14 = 616.
A=22imes2imes14=616┬аcm2
A is correct because the calculation of (22/7) * 14 * 14 results in an area of 616 cm┬▓.
This area-scaling principle (if radius doubles, area quadruples) is crucial for solving 'percentage change' geometry problems in Quantitative Aptitude.
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