Question

kylie writes an equation to solve for the diameter, d, of the circle shown. solve kylie’s equation to find the diameter of the circle. 4(d + 4)=7². what is the diameter? 7.5 in 8.25 in 11.25 in 13.25 in

Explanation:

Step1: Calculate the right - hand side

First, calculate $7^2 = 49$. So the equation becomes $4(d + 4)=49$.

Step2: Distribute the 4

Expand the left - hand side using the distributive property: $4d+16 = 49$.

Step3: Isolate the term with d

Subtract 16 from both sides of the equation: $4d=49 - 16$. So $4d=33$.

Step4: Solve for d

Divide both sides by 4: $d=\frac{33}{4}=8.25$.

Answer:

8.25 in