KingMammoth571 KingMammoth571
  • 10-09-2020
  • Mathematics
contestada

# - A circle has an area of approximately

201.06 cm². If the radius is doubled, what is the

approximate area of the new circle? Show your

work below.

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 11-09-2020

Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2

Answer Link

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