Question

PLS HELP ASAP the area of the circle is 64pi square cm what is the radius of the circle in cm

8 cm
9cm
6cm
16cm

Answer 1

`\huge\boxed{\bf{radius_(circle) = 8cm}}`

Explanation:

Given:-

• 
  `\tt Area_(circle) = 64\pi cm^2`

To find:-

• 
  `\tt radius_(circle) = ?`

Ans:-

`\sf \to Area_(circle) = \pi*r^2`

`\sf \to 64\cancel{\pi} cm^2 = \cancel{\pi}*r^2`

`\sf \to 64cm^2 = r^2`

`\sf \to r = √(64cm^2)`

`\sf \to r = 8cm`

therefore
`\tt radius_(circle)` = 8cm

`\:`

`\huge\colorbox{skyblue}{BlackPain}`

Answer 2

8cm

Explanation:

`Here,\\\\Area(A)=64\pi cm^(2) \\Radius(r)=?\\\\As\:we\:have,\\\\\hookrightarrow Area=\pi r^(2) \\\\\hookrightarrow (64\pi cm^(2) )/(\pi ) =r^(2) \\\hookrightarrow 64 cm^(2) =r^(2) \\\\\hookrightarrow \sqrt{64cm^(2) } =r\\\\\hookrightarrow 8cm=r\\\\\hookrightarrow r=8cm`