The surface area of the rectangle is 18 yards x 15 yards = 270 yards^2
The surface area of the two circles is 2 x (π x (15/2)^2) = 2 x (3.14 x 7.5^2) = 2 x 3.14 x 56.25 = 353.25 yards^2
Total surface area = 270 yards^2 + 353.25 yards^2 = 623.25 yards^2
Therefore, the correct answer is:
623.25 yards^2
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
3,108.6 yards^2
3,108.6 yards squared
623.25 yards^2
623.25 yards squared
1,201.05 yards^2
1,201.05 yards squared
600.53 yards^2
3 answers
Question
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 .
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 .
To calculate the surface area, we need to find the area of the rectangle and the area of the two circles.
1. Area of rectangle:
Length = 15 yards
Height = 18 yards
Area = Length x Height = 15 yards x 18 yards = 270 square yards
2. Area of one circle:
Radius = 15 yards / 2 = 7.5 yards
Area of one circle = π x (radius)^2 = 3.14 x 7.5^2 = 3.14 x 56.25 = 176.625 square yards
3. Total area of both circles = 2 x Area of one circle = 2 x 176.625 = 353.25 square yards
Total surface area = Area of rectangle + Total area of circles
Total surface area = 270 square yards + 353.25 square yards
Total surface area = 623.25 square yards
Therefore, the surface area is 623.25 square yards.
1. Area of rectangle:
Length = 15 yards
Height = 18 yards
Area = Length x Height = 15 yards x 18 yards = 270 square yards
2. Area of one circle:
Radius = 15 yards / 2 = 7.5 yards
Area of one circle = π x (radius)^2 = 3.14 x 7.5^2 = 3.14 x 56.25 = 176.625 square yards
3. Total area of both circles = 2 x Area of one circle = 2 x 176.625 = 353.25 square yards
Total surface area = Area of rectangle + Total area of circles
Total surface area = 270 square yards + 353.25 square yards
Total surface area = 623.25 square yards
Therefore, the surface area is 623.25 square yards.