Question

the diameter of a circle is 6 ft, what is its area?
select one:
a. 28.26
b. 37.7
c. 113.1
d. 3.14

add $\frac{1}{x}+\frac{1}{y}$.
select one:
a. $x+y$
b. $\frac{2}{(x+y)}$
c. $\frac{1}{(x+y)}$
d. $\frac{(x+y)}{xy}$

Explanation:

Step1: Find circle radius from diameter

Radius $r = \frac{\text{Diameter}}{2} = \frac{6}{2} = 3$ ft

Step2: Calculate circle area

Area $A = \pi r^2 = 3.14 \times 3^2 = 3.14 \times 9 = 28.26$ sq ft

Step3: Find common denominator for fractions

Common denominator of $\frac{1}{x}$ and $\frac{1}{y}$ is $xy$

Step4: Rewrite and add fractions

$\frac{1}{x} + \frac{1}{y} = \frac{y}{xy} + \frac{x}{xy} = \frac{x+y}{xy}$

Answer:

1. a. 28.26
2. d. $(x+y)/xy$