Question

The figure below shows two half-circles at the ends of a rectangle with the dimensions shown. A figure is shown with two half-circles at the ends of a rectangle. The rectangle at the center has a width of 25 inches and a height of 6 inches. The 6 inch ends of the rectangle are diameters of the two half-circles. Which is closest to the area of the figure in square inches? A. 263 B. 207 C. 178 D. 164

Answer 1

178

Step-by-step explanation:

According to my calculations, and some review on the formulas, I concluded with the answer 178. I got this answer through these steps:

1. We must calculate the area of the rectangle, which is width times height (25 X 6) which equals 150. Now that we have summed this answer, we must find the area of the two semi-circles. We know the height of the rectangle is the diameter of both semi circles, therefore we can discover the radius which is half of the diameter, (3^2) pi which equals 9 pi, as there are two semi circles which will make a whole.

2. This is the final step is to plug in our answers.

150+3(9.424) which equals approximately 178.

I see you are in college, I am in 9th grade, so I apologize if this answer is wrong.