Note: picture not drawn to scale

The circle above has a radius of 8 cm. What is the area of the circle?

Use pie = 3.14.
A.
401.92 cm2
B.
50.24 cm2
C.
200.96 cm2
D.
25.12 cm2

1 answer

To find the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle.

Given:

  • Radius (\( r \)) = 8 cm
  • \( \pi \) (pi) = 3.14

Now, plug the values into the formula:

\[ \text{Area} = 3.14 \times (8)^2 \]

Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute back into the area formula:

\[ \text{Area} = 3.14 \times 64 \]

Now multiply:

\[ 3.14 \times 64 = 200.96 , \text{cm}^2 \]

So, the area of the circle is:

\[ \boxed{200.96 , \text{cm}^2} \]

Thus, the correct answer is C. 200.96 cm².