Question

A=4ℼR2 solve for R
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Answer 1

`R=(1)/(2) \sqrt{(A)/(\pi )}`

Explanation:

To solve an equation for one of its value

1. Underline the variable you need to solve for it
2. Separate this variable on one side and other terms on the other side
3. Make its coefficient equal to 1

∵ A = 4πR²

→ Underline R

∴ A = 4πR²

→ Move 4π to the other side by dividing both sides by 4π

∵
`(A)/(4\pi )=(4\pi R^(2) )/(4\pi )`

∴
`(A)/(4\pi )=R^(2)`

→ To find R take √ for both sides

∴
`\sqrt{(A)/(4\pi )}=\sqrt{R^(2) }`

→ You can simplify
`\sqrt{(1)/(4)}` to
`(1)/(2)`

∴
`(1)/(2) \sqrt{(A)/(\pi )}=R`

→ Switch the two sides

∴
`R=(1)/(2) \sqrt{(A)/(\pi )}`