To find the radius of a circle when given 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.
Given that the area \( A = 28.26 , \text{cm}^2 \), we can set up the equation:
\[ 28.26 = \pi r^2 \]
To isolate \( r^2 \), divide both sides by \( \pi \):
\[ r^2 = \frac{28.26}{\pi} \]
Now, use the approximation \( \pi \approx 3.14 \):
\[ r^2 = \frac{28.26}{3.14} \approx 9 \]
Now, take the square root of both sides to find \( r \):
\[ r = \sqrt{9} = 3 , \text{cm} \]
So, the radius of the circle is \( 3 , \text{cm} \).
1 answer