Answer:
[tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]
Step-by-step explanation:
To solve an equation for one of its value
- Underline the variable you need to solve for it
- Separate this variable on one side and other terms on the other side
- Make its coefficient equal to 1
∵ A = 4πR²
→ Underline R
∴ A = 4πR²
→ Move 4π to the other side by dividing both sides by 4π
∵ [tex]\frac{A}{4\pi }=\frac{4\pi R^{2} }{4\pi }[/tex]
∴ [tex]\frac{A}{4\pi }=R^{2}[/tex]
→ To find R take √ for both sides
∴ [tex]\sqrt{\frac{A}{4\pi }}=\sqrt{R^{2} }[/tex]
→ You can simplify [tex]\sqrt{\frac{1}{4}}[/tex] to [tex]\frac{1}{2}[/tex]
∴ [tex]\frac{1}{2} \sqrt{\frac{A}{\pi }}=R[/tex]
→ Switch the two sides
∴ [tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]
