Question

What is the approximate circumference of a circle that has a diameter of 379? Use 3.14 for ir and express your answer to the hundredths place. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Circumference = π * diameter

Circumference = 3.14 * 379
Circumference ≈ 1191.86

Therefore, the approximate circumference of the circle with a diameter of 379 is 1191.86.

Answer 2

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. (1 point)

miles

Answer 3

[AI-generated answer — Bot GPT 3.5]

Circumference = π * diameter

7459 = 3.14 * diameter
diameter ≈ 2374

Therefore, the diameter of the circle rounded to the nearest hundredths place is 2374 miles.

Answer 4

The radius of a circle is 98 mm. What is the area of the circle? Write your answer to the hundredths place. Use 3.14 for π. (1 point)

m * m ^ 2

Answer 5

[AI-generated answer — Bot GPT 3.5]

The area of a circle is calculated using the formula:

Area = π * radius^2

Given that the radius is 98 mm, we can substitute that into the formula:

Area = 3.14 * 98^2
Area = 3.14 * 9604
Area ≈ 30170.56

Therefore, the area of the circle with a radius of 98 mm is approximately 30170.56 square millimeters.

Answer 6

If the area of a circle is 28.26c * m ^ 2 what is the radius of the circle? (1 point)

cm

Answer 7

[AI-generated answer — Bot GPT 3.5]

Given that the area of the circle is 28.26 cm^2, we can use the formula for the area of a circle to find the radius.

Area = π * radius^2

Given:
Area = 28.26 cm^2
π = 3.14

Substitute these values into the formula:
28.26 = 3.14 * radius^2
radius^2 = 28.26 / 3.14
radius^2 = 9

Taking the square root of both sides:
radius = √9
radius = 3 cm

Therefore, the radius of the circle is 3 cm.

Answer 8

Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place. (1 point)

Radius

Circumference

Area

279 in.

in.

in .^ 2

Answer 9

[AI-generated answer — Bot GPT 3.5]

Given that the radius of the circle is 279 inches, we can find the circumference and area using the formulas:

Circumference = 2 * π * radius
Area = π * radius^2

Given:
Radius = 279 inches
π = 3.14

Substitute the radius into the formulas:

Circumference = 2 * 3.14 * 279
Circumference = 1750.68 inches

Area = 3.14 * 279^2
Area = 3.14 * 77841
Area = 244454.74 square inches

Therefore, for a circle with a radius of 279 inches:
- The circumference is approximately 1750.68 inches
- The area is approximately 244454.74 square inches

Answer 10

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. (4 points)

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the area of the flag using Magnolia's scale drawing, we first need to determine the scale factor by comparing the original dimensions to the dimensions in the scale drawing.

Original dimensions:
Height = 15 inches
Base = 25 inches

Scale drawing dimensions:
Height = ? inches
Base = 10 inches

The scale factor for the base length is:
Original base length / Scale base length
25 inches / 10 inches = 2.5

Therefore, the scale factor is 2.5.

Now, we need to apply this scale factor to the area while keeping the proportions unchanged:

Area = (Scale factor)^2 * Original area

Area = 2.5^2 * (1/2) * base * height
Area = 6.25 * 0.5 * 25 * 15
Area = 2343.75 square inches

Therefore, the area of Magnolia's scale drawing of the flag is approximately 2343.75 square inches.