Question

which equation is used to find the radius of a circle with an area of 50.24 square inches? use 3.14 for π. 50.24 = 3.14r 50.24 = 3.14rr r = 3.14 x 3.14 x 50.24

Explanation:

Step1: Recall the area formula of a circle

The area \( A \) of a circle is given by the formula \( A=\pi r^{2} \), where \( \pi \) is the mathematical constant (here \( \pi = 3.14 \)) and \( r \) is the radius of the circle. So \( A=\pi\times r\times r=\pi r^{2} \) (since \( r^{2}=r\times r \)).

Step2: Substitute the given values

We know that the area \( A = 50.24 \) square inches and \( \pi=3.14 \). Substituting these values into the area formula \( A=\pi r^{2} \), we get \( 50.24 = 3.14\times r\times r \), which can be written as \( 50.24=3.14rr \) (because \( r\times r = rr \)).

Answer:

\( 50.24 = 3.14rr \)