Answer:
Figure 1: The figure has a square and 2 circles. So, to find he area of the figure we will add the area of square plus area of 2 circles.
Now, the side length of square is = 10 feet
Area = 10*10=100 square feet
The side of square acts as a diameter, so radius will be = 10/2 = 5 feet
Area of circle = [tex]\pi r^{2}[/tex]
= [tex]3.143*5*5=78.575[/tex]
Area of 2 circles will be = 78.575*2 = 157.15
So, area of the figure = 100+157.15 = 257.15 square feet.
So, option C is correct.
2. When a sphere is cut by a plane which passes through the center, the cross section is a circle with the same diameter of the sphere.
So, diameter is D. Then radius = D/2
Area of circle = [tex]\pi (\frac{D}{2})^{2}[/tex] or [tex]\pi \frac{D^{2} }{4}[/tex] square inches. The given options are not clear(May be 3rd one). But this is the correct answer.
