If the area of a circle is 28.26 cm2

, what is the radius of the circle?(1 point)
cm

1 answer

To find the radius of a circle when you know the area, you can use the formula for the area of a circle:

\[ A = \pi r^2 \]

where \( A \) is the area and \( r \) is the radius. You have the area \( A = 28.26 \) cm².

To find the radius, rearrange the formula to solve for \( r \):

\[ r = \sqrt{\frac{A}{\pi}} \]

Now substitute in the value for \( A \):

\[ r = \sqrt{\frac{28.26}{\pi}} \]

Using \( \pi \approx 3.14 \):

\[ r = \sqrt{\frac{28.26}{3.14}} \approx \sqrt{9} = 3 \]

So, the radius of the circle is approximately \( 3 \) cm.