Question Video: Finding the Area of a Circle | Nagwa Question Video: Finding the Area of a Circle | Nagwa

Question Video: Finding the Area of a Circle Mathematics • Second Year of Preparatory School

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Using 3.14 as an approximation for ๐, find the area of the circle.

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Video Transcript

Using 3.14 as an approximation for ๐, find the area of the circle.

We begin by recalling that the formula for finding the area of a circle is ๐๐ squared, where ๐ represents the radius of the circle. From the figure, we identify that the radius of this circle is 12 centimeters because weโve been given the length of a line segment connecting the center of the circle to a point on the circleโs circumference.

So substituting 12 for ๐, we have that the area of this circle is equal to ๐ multiplied by 12 squared. We must remember that it is just the 12 weโre squaring. Weโre not also squaring ๐. So this is equal to ๐ multiplied by 144. Weโre told that we should use 3.14 as an approximation for ๐. So evaluating 3.14 multiplied by 144 gives 452.16. The units for area are square units.

So we found that the area of this circle, which has a radius of length 12 centimeters, is approximately 452.16 centimeter squared.

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