# Calculate the circumference and area of the circle whose diameter = 14.

pohnpei397 | Certified Educator

calendarEducator since 2009

starTop subjects are History, Literature, and Social Sciences

The answer to this is that the area of the circle is 154 square units and the circumference is 44.  Here is how to find this answer.

We know that the area of a circle is found by the equation

area = pi*r2 where r is the radius.  The radius here is 7 because that is half of the diameter.

So

area = 3.14*7^2

area = 3.14*49

area = 153.86 or 154

We know that the circumference of a circle is found by the equation

circumference = 2*pi*r

So circumference = 2*3.14*7 = 43.96 or 44

check Approved by eNotes Editorial

hala718 | Certified Educator

calendarEducator since 2008

starTop subjects are Math, Science, and Social Sciences

We have the diameter d = 14

Then the radius of the circle (r) = d/2 = 7

The circumference (C) = 2*r*pi

= 2*7*22/7

= 44 unit>

The area (a) = Pi*r^2

= (22/7)*(7^2)

= 22*7

= 154 square unit.

check Approved by eNotes Editorial

krishna-agrawala | Student

Circumference of a circle = pi*diameter

Substituting the given value of diameter, and value of pi (22/7) in above equation:

Circumference = (22/7)*14 = 44

Area of a circle = [pi*(diameter)^2]/4

Substituting the given value of diameter, and value of pi in above equation:

Area = (22/7)(14^2)/4 = 154