Use the image to answer the question.
An illustration shows a horizontal rectangle of height 18 yards with a circle of diameter 15 yards attached to its top left and a circle of diameter 15 yards attached to its bottom right.
Calculate the surface area. Use 3.14 for π.
(1 point)
Responses
600.53 yards2
600.53 yards squared
623.25 yards2
623.25 yards squared
1,201.05 yards2
1,201.05 yards squared
3,108.6 yards2
3,108.6 yards squared
To calculate the surface area, we need to find the area of the rectangle and the area of the two circles.
Rectangle:
Height = 18 yards
Width = 15 yards
Area = Height x Width = 18 yards x 15 yards = 270 yards
Circles:
Radius = Diameter / 2 = 15 yards / 2 = 7.5 yards
Area of one circle = πr^2 = 3.14 x (7.5 yards)^2 = 176.625 yards
Area of two circles = 2 x 176.625 yards = 353.25 yards
Total surface area = Area of rectangle + Area of two circles
Total surface area = 270 yards + 353.25 yards = 623.25 yards2
Therefore, the surface area is 623.25 yards squared.