Question

Question #2b939

Answer 1

radius: (approximately) `49` cm.

Explanation:

Remember the formula for the circumference (`color(blue)C`) of a circle with radius `color(red)r` is
`color(white)("XXX")color(blue)C=2picolor(red)r`

by re-arranging we get
`color(white)("XXX")color(red)r=color(blue)C/(2pi)`

then substituting the given value `color(blue)308` for `color(blue)C`
`color(white)("XXX")color(red)r=color(blue)308/(2pi)=color(green)49.01972747` (with the aid of a calculator)

Answer 2

`49.02`cm to the nearest 2 decimal places.

Explanation:

Circumference of a circle`=2pir`

`:.2pir=308`

`:.r=308/(2pir)`

`:.r=308/(2xx3.141592654)`

`:.r=308/6.283185307`

`:.r=49.01972247`

`:.=49.02 cm` to the nearest 2 decimal places.