# Which is larger: the area of a circle 6 cm in diameter or the area of a square whose side is 6 cm. How much larger?

2
by gutnix989

2015-05-20T19:33:30+08:00

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The area of the circle is :

The area of a square is:

It is obvious that the circle's area is smaller since pi is approximately 3.14 and 36 is equal to 9*4. So the square's area is higher by:

2015-05-21T15:01:59+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Case 1:Circle
Diameter is twice the radius so:
6 cm=2r
r=3 cm

Area of a circle:
A=πr²
A=π(3 cm)²
A=9π cm² or 28.26 cm²

Case 2: Square
The area of the square is:
A=s²
A=(6 cm)²
A=36 cm²

To find how much larger the square is, just subtract
36 cm²-28.26 cm²=7.74 cm²

Hope this helps =)