The rectangle shown is rotated about line k. What is the approximate base area of the resulting figure? Area of a circle: A = πr2A. 31 sq. in.B. 50 sq. in. C. 79 sq. in.D. 314 sq. in.

Answer:-  C is the correct answer. The approximate base area of the resulting figure is 79 Sq.in.Explanation:-Given :- A rectangle which is rotated about a line k . According to the picture the line k dividing the length of the rectangle into two equal halves of 5 inches. If the rectangle is rotated about line k , the n it will form a cylinder which is the resulting figure with height is same the breadth of rectangle i.e.4 inches and has base of circle with radius is same as half of length i.e. 5 inches.Now,the base area of the resulting figure (circle)=[tex]\pi\ r^2=3.14\times5^2=3.14\times25=78.5\ sq.\ in.\approx79\ sq.\ in.[/tex]Therefore, The approximate base area of the resulting figure is 79 Sq.in.