Question

Recall that the formula for an area of a circle is A=πr^2 Find the radius of a circle whose area is 300 square meters. Give a decimal approximation rounded to 2 decimal places.raduis=_______meters

Answer 1

Given:

a.) Area of circle = 300 m²

Let's determine its radius,

`\text{ Area = }\pi\text{r}^2`
`\text{ }\pi r^2\text{ = Area}`
`\text{ r}^2\text{ = }(300)/(3.1416)\text{ ; }\pi\text{ }\approx\text{ 3.1416}`
`\text{ r = }\sqrt{(300)/(3.1416)}`
`\text{ r = 9.77203881243 }\approx\text{ 9.77 m}`

Therefore, the radius of the circle is approximately 9.77 m