Question

2 find the area: 12 ft 12 ft a) 186.4 ft² b) 257.1 ft² c) 92.5 ft² d) 596.4 ft² e) 200.5 ft² grading papers coaching football surfing watching tv flying a kite

Explanation:

Step1: Calculate area of square

The side - length of the square is 12 ft. The area formula for a square is $A_{square}=s^2$, where $s = 12$ ft. So $A_{square}=12\times12=144$ $ft^2$.

Step2: Calculate area of semi - circle

The diameter of the semi - circle is 12 ft, so the radius $r=\frac{12}{2}=6$ ft. The area formula for a full - circle is $A_{circle}=\pi r^2$, and for a semi - circle $A_{semicircle}=\frac{1}{2}\pi r^2$. Substituting $r = 6$ ft, we get $A_{semicircle}=\frac{1}{2}\times\pi\times6^2=\frac{1}{2}\times\pi\times36 = 18\pi\approx18\times3.14 = 56.52$ $ft^2$.

Step3: Calculate total area

The total area $A = A_{square}+A_{semicircle}=144 + 56.52=200.52\approx200.5$ $ft^2$.

Answer:

E. $200.5$ $ft^2$