Question

A circle has a area of 121. What is the radius of the circle?

Answer 1

`\boxed{\bf\:r = (55 √(314))/(157) \approx 6.21 \: units}`

Explanation:

Given,

Area of the circle = 121 units²

We know that, the formula of the area of a circle =
`\boxed{\pi r ^(2)}`

Let's use the value of
`\pi` as 3.14.

We need to find the radius (r) of the circle.

`\rule{150}{2}`

By using this formula,

`\sf\:A = \pi \:r^(2)\\\sf\:121 = 3.14* r^(2)\\\sf\:(121)/(3.14)=r^(2) \\\sf\:(12100)/(314)=r^(2) \\\sf\:(6050)/(157)=r^(2) \\\\\sf\:By \: simplifying \: it \: further,\\\boxed{\bf\:r = (55 √(314))/(157) \approx 6.21 \: units}`

`\rule{150}{2}`