Sam drew a circle with a diameter of 16 cm. Kevin drew a circle with a radius of 6 cm. Approximately how much larger is the area of Sam's circle than the area of Kevin's circle? Use 3.14 for Pi and round to the nearest whole number

88 cm squared

Step-by-step explanation:

Sam's circle has a radius of 16/2=8 cm.

For Kevin,

The difference between these is 87.92 squared cm. Rounded to the nearest whole number, this is 88.

About 173 square centimeters larger.

Step-by-step explanation:

Let's find the areas of the two, then subtract them to get our answer! Remember diameter is double radius, so Sam's circle radius = 8 cm, Kevin's circle radius = 3 cm.

Sam's circle:

A =  πr^2

   =  π8^2

   = 64π = about 200.96 square centimeters

Kevin's circle:

A = πr^2

   = π3^2

   = 9π = 28.26 square centimeters.

200.96 - 28.26 = 172.7 = about 173 square centimeters larger

*Remember: we round at the end, not after each step.*

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