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.
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565.2
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.
Circumference = π x diameter
Circumference ≈ 3.14 x 379
Circumference ≈ 1190.66
The approximate circumference of a circle with a diameter of 379 is 1190.66.
If the area of a circle is 28.26 cm2 , what is the radius of the circle?
__cm
The area of a circle is given by the formula:
Area = π x radius^2
Given that the area is 28.26 cm^2 and using the approximation of π as 3.14, we can set up the equation as follows:
28.26 = 3.14 x radius^2
Divide both sides by 3.14 to solve for radius^2:
radius^2 = 28.26 / 3.14
radius^2 = 9
Taking the square root on both sides to find the radius:
radius ≈ √9
radius ≈ 3
Therefore, the radius of the circle is approximately 3 cm.
you sure thats the answer?
Apologies for the mistake in the previous response. Let's correct the calculation:
Given:
Area of the circle = 28.26 cm²
Using the formula for the area of a circle:
Area = π x radius²
28.26 = 3.14 x radius²
Divide both sides by 3.14:
radius² = 28.26 / 3.14
radius² = 9
Taking the square root of both sides to find the radius:
radius ≈ √9
radius ≈ 3
The correct radius of the circle with an area of 28.26 cm² is 3 cm. Thank you for pointing out the error.
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.
radius | circumference | area |
279 in. __ in. __in.^2
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.
To solve this problem, we need to determine the scale factor relating the actual dimensions of the flag to the scale drawing. The scale factor is the ratio of actual length to scale length.
Given:
- Actual height of the flag = 15 inches
- Actual base length of the flag = 25 inches
- Scale base length = 10 inches
We will calculate the scale factor using the base length:
Scale factor = Actual base length / Scale base length
Scale factor = 25 / 10
Scale factor = 2.5
To find the actual height in the scale drawing, we multiply the scale factor by the actual height:
Scale drawing height = Actual height x Scale factor
Scale drawing height = 15 x 2.5
Scale drawing height = 37.5 inches
Now we calculate the area of the scale drawing using the scaled dimensions:
Area of scale drawing = (1/2) x base length x height
Area of scale drawing = (1/2) x 10 x 37.5
Area of scale drawing = 187.5 square inches
Therefore, the area of Magnolia's scale drawing of the flag is 187.5 square inches.