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œ‹, find the area of the circle.

01:15

Video Transcript

Using 3.14 as an approximation for ๐œ‹, find the area of the circle.

We begin by recalling that the formula for finding the area of a circle is ๐œ‹๐‘Ÿ squared, where ๐‘Ÿ 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‘Ÿ, we have that the area of this circle is equal to ๐œ‹ multiplied by 12 squared. We must remember that it is just the 12 weโ€™re squaring. Weโ€™re not also squaring ๐œ‹. So this is equal to ๐œ‹ multiplied by 144. Weโ€™re told that we should use 3.14 as an approximation for ๐œ‹. 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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