Question

Find the circumference and the area of a circle with diameter 6cm . use the value 3.14 for π

Answer 1

The area is:

28.26 cm²

The circumference is:

18.84 cm

Step-by-step explanation:

To find the circle's area, use the formula
`\sf{A=\pi r^2}`.

where:

A = area;

π = 3.14 (pi);

r = radius

To find the radius when you're given the diameter, divide the diameter by 2 : 6 ÷ 2 = 3 cm

Diagram:

`\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ cm}\end{picture}`

Plug in the data:

• 
  `\sf{A=3.14*3^2}`
• 
  `\sf{A=3.14*9}`
• 
  `\sf{A=28.26\:cm^2}`

Now let's find the circumference. We can use
`\sf{C=\pi* d}`.

where d = diameter.

`\sf{C=3.14*6}`

`\sf{C=18.84\:cm}`

Answer 2

The circumference of the circle would be 37.7 cm the area would be 113.1 cm.