If the diameter of a circle is 20cm, what is the area?

1 Answer
Dec 31, 2015

"A" = 100pi =314.16 "cm"^2 "to 5 significant figures"

Explanation:

First, observe the formula for calculating the area of a circle:

"A"=pir^2

Where:

  • "A" is the area of the circle
  • pi is the irrational number 3.14159 ...
  • r^2 is the square of the radius of the circle.

Since the radius is half of the diameter:

r=d/2

=>20/2

=>10

:. r^2 = 10^2 = 100

Returning to our original equation:

"A" = 100pi =314.16 "cm"^2 "to 5" "significant figures"