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The radius of a circle is 19m. Find its area to the nearest whole number.

2 Answers

8 votes

Answer:

1134.11

Explanation:

The problem with this equation is pi is an angle in radians. It has a never ending number of digits.

The area of a circle is basically a square r x r rotated through 180 degrees around the squares centre.

So the area can be written as 180 x 19 x 19 = 64980 degrees meters square.

This is a finite number. The area of a circle does not change. Pi r squared has an ever increasing result.

pi is a conversion factor between the finite areas of circles and the area in square units which can never have a result that is finite as squares cannot fill a circle, no matter how small.

To convert the round finite area to m squared you divide the area by 180/pi = 57.295779513 degrees per radian.

Area in degrees meters Squared 64980/ 57.295779513.

= 1134.1149479 radian meters squared.

User Luke Canavan
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6.3k points
9 votes

1134.11m²

______----------________

User Sera
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6.2k points