Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The

Question

Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The

formula for the area of a circle is A = π r2.)

A. 18.8 sq ft

B. 355.3 sq ft

C. 59.2 sq ft

D. 113.1 sq ft

Answer 1

If you are doing this problem without a calculator, then you need to know that Π is rounded to 3.14 for practical purposes.

The formula for the area of a circle (A) is A =Πr².

r = 6 ft   Π = 3.14,

A = 3.14 x 6²

A = 113.04 (which is an estimated answer because Π is estimated in this case).

Therefore, the answer would be D.  If you can use a calculator, then your answer will be more exact.  Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.

 

A = 3.14 x 36

 

Answer 2

Given that the area, A, of a circle is defined by the following formula:    

          A = πr² ,   where r is the radius of the circle ....

....then the area of a circle with a radius of 6 ft is as follows:

     A = π(6)² = π(36)

     A = 36π = 113.09733552923

Thus, after rounding off the answer to one decimal point, the area of the circle is 113.1 ft² (answer choice D).