Question

How do you find diameter,radius, and area of a circle if the circumference is 43.96?

Answer 1

Radius: `color(blue)(r=7cm`
Diameter: `color(blue)(d= 14cm`
Area:`approxcolor(blue)(154cm^2`

Explanation:

The formula for the circumference of a circle is :

`color(blue)(2pir)=43.96cm` (assuming the unit to be in cm).

`pi` has a constant value of `3.14`

`color(blue)(2pir)=2*(3.14) *r=43.96cm`

`r=43.96/(6.28)cm`

The radius, `color(blue)(r=7cm`

The diameter = `2 *` (radius)
`=2*7 =color(blue)( 14cm`

The area of a circle is given by formula:
`color(blue)(pir^2)= 3.14*(7)^2`

The area is `approxcolor(blue)(154cm^2`