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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

Respuesta :

osikbro

Answer:

88 cm squared

Step-by-step explanation:

Sam's circle has a radius of 16/2=8 cm. [tex]\pi\cdot 8^2=200.96[/tex]

For Kevin, [tex]\pi\cdot 6^2=113.04[/tex]

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

xxamari

Answer:

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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