Find the area of the circle shown below if the diameter is 24 inches. Use 3.14 for π. Use the formula π x r^2 A)1,808.64 inches
B) None of these answers
C)37.68 inches
D)452.16 inches
E)150.72 inches

Explanation:

The diameter is 24 inches, so the radius is half that at r = d/2 = 24/2 = 12 inches.

We'll use this along with the approximation pi = 3.14 to get the area

A = pi*r^2

A = 3.14*12^2

A = 452.16 square inches

Your teacher should have used "square inches" instead of "inches" as the unit.

We can abbreviate the "square inches" into "sq in" or "in^2".

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to find a more accurate value.

The exact area is 144pi

D. 452.16 sq inches

Step-by-step explanation:

d = 24 ==> r = 24/2= 12 inches

the area = π×r²

= 3.14 × 12²

= 3.14 × 144

= 452.16 sq inches

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.