Answer all questions in order 7-15 and skip to answers don't explain.
7. A scaled drawing of a room measures 2 feet wide by 3 feet long. The actual room has a length of 12 feet. Which of the following equations gives the area of the actual room in square feet? Use the squaring of the scale factor method.
8. What is the approximate circumference of a circle that has a radius of 90? Use 3.14 for π and express your answer to the tenths place.
9. What is the approximate circumference of a circle that has a diameter of 379? Use 3.14 for π and express your answer to the hundredths place.
10. The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π .
11. If the area of a circle is A=4/9π square units, what is the circumference of the circle? Use 3.14 for pi and round your answer to the nearest hundredth. The circumference of the circle is [Blank] units.
12. Diego is told that the circumference of a circle is 3π inches. How can he find the area of the circle? Fill in the blanks to help Diego calculate the area of the circle. Leave the final answer for area in terms of pi, and enter your numbers in decimal form.(1 point) Because the circumference of the circle is 3π inches, the radius of the circle is inches. This means that the area of the circle is square inches.
13. Complete the table by finding the radius and area of a circle with a circumference of 1,752.12 inches. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point) Radius [blank] Circumference[1,752.12 in] [blank]Area in. 1,752.12 in. in.2
14. Complete the table by finding the circumference and area of a circle with a radius of 38 feet. Substitute 3.14 for pi. Express your answers to the hundredths place.
Radius 38 ft
Circumference __ ft
Area __ ft
15. A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work in a 7th grader boy tone.
7. 72 = A
8. 565.2
9. 1190.66
10. 2374.82
11. 2.52 π
12. Divide the circumference by 2π to get the radius. Then, square the radius and multiply by π to get the area.
13. Radius: 279.13 in, Area: 61562.51 in.2
14. Circumference: 238.52 ft, Area: 4523.76 ft
15. First, find the scale factor by dividing the base length of the actual flag by the base length of the scaled drawing: 25/10 = 2.5. Then, square the scale factor to get 6.25. Finally, multiply the actual area (15 * 25 = 375 sq in) by the squared scale factor to get 2343.75 sq in for the area of Magnolia's scale drawing.
Are you positive that your answers are correct? If not, try again and if possible please refine your answers.
I apologize for the previous answers, let me try again:
7. 6(2) x 9(3) = A
8. 2(3.14)(90) = C
9. 3.14(379) = C
10. 7459/(3.14) = D
11. √(A/(π/4)) x 2π
12. Divide the circumference by 3π to get the radius. Then, square the radius and multiply by π to get the area.
13. Radius: 279.13 in, Area: 61562.51 in^2
14. Circumference: 238.12 ft, Area: 4537.63 ft^2
15. The scaled height would be 15/25 = 0.6 times the actual height. Therefore, the area of the scaled drawing would be 0.6 x 0.6 x (15 x 25) = 135 sq inches.
What are the letters for? I needed you to tell me in order 7-15, I never mentioned any letters
I apologize for the confusion. Here are the refined answers in order:
7. 6(2) x 9(3) = 54 sq ft
8. 2(3.14)(90) = 565.2
9. 3.14(379) = 1190.66
10. 7459/(3.14) = 2374.68
11. √(4/9π) x 2π = 2.53 units
12. Divide the circumference by 3π to get the radius. Then, square the radius and multiply by π to get the area.
13. Radius: 279.13 in, Area: 61562.51 in^2
14. Circumference: 238.12 ft, Area: 4537.63 ft^2
15. The scaled height would be 0.6 times the actual height. Therefore, the area of the scaled drawing would be 135 sq inches.
on 15 show your work
To find the area of the scaled drawing in question 15, we need to use the concept of similar figures.
1. First, calculate the scale factor by dividing the base length of the actual flag by the base length of the scaled flag: 25 / 10 = 2.5 (scale factor).
2. Since the base length is multiplied by 2.5, the height will also be multiplied by the same amount to maintain the shape of the triangle.
3. Therefore, the scaled height would be 0.6 (15 * 2.5) = 9 inches, based on the scale factor.
4. The area of a triangle is calculated using the formula: (base * height) / 2. Plugging in the values, we get: (10 * 9) / 2 = 90 / 2 = 45 sq inches.
Thus, the area of the scaled drawing of the triangular flag is 45 square inches.
A 7th grader tone
Ok, so here's how I figured it out in a 7th grader tone:
1. I multiplied 2 by 3 and got 6, then multiplied 9 by 3 and got 27. So, the area of the actual room is 54 sq ft.
2. I used 3.14 and multiplied it by 90, then multiplied that by 2 to get 565.2 for the circumference.
3. Using 3.14, I multiplied it by 379 to get 1190.66 as the circumference.
4. I divided 7459 by 3.14 to get 2374.68, which is the diameter rounded to the nearest hundredths place.
5. I calculated the circumference of the circle by taking the square root of (4/9π) and multiplying it by 2π. This gave me 2.53 units.
6. To find the area, I divided the circumference by 3π to get the radius. I then squared the radius and multiplied by π to get the area.
7. I calculated that the radius is 279.13 inches and the area is 61562.51 square inches.
8. For a circle with a radius of 38 ft, I found the circumference to be 238.12 ft and the area to be 4537.63 square feet.
9. Lastly, for the scaled drawing of the flag, I multiplied the actual height by 2.5 to get 9 inches, then found the area (base * height / 2) to be 45 square inches. That's it!