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)
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
Given that the radius is 98 mm, we can substitute this value into the formula:
A = 3.14 * (98)^2
A = 3.14 * 9604
A = 30159.56
Therefore, the area of the circle with a radius of 98 mm is 30159.56 square millimeters.
If the area of a circle is 28.26 cm2 , what is the radius of the circle?(1 point)
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the area is 28.26 cm^2, and using the approximate value of π = 3.14, we can rearrange the formula to solve for the radius:
28.26 = 3.14 * r^2
Divide both sides by 3.14:
r^2 = 28.26 / 3.14
r^2 = 9
Take the square root of both sides:
r = √9
r = 3
Therefore, the radius of the circle with an area of 28.26 cm^2 is 3 cm.
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
To find the circumference and area of a circle with a radius of 279 inches, we can use the formulas:
Circumference = 2πr
Area = πr^2
Given that the radius is 279 inches, we substitute this value into the formulas:
Circumference = 2 * 3.14 * 279
Circumference ≈ 1750.44 inches
Area = 3.14 * 279^2
Area ≈ 246061.86 square inches
Completing the table:
Radius Circumference Area
279 in. 1750.44 in. 246061.86 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.(4 points)
To find the area of Magnolia's scale drawing, we need to first find the scale factor by comparing the base lengths of the actual flag and the scale drawing.
The scale factor is calculated as:
Scale Factor = Actual Length / Scale Length
Given that the actual base length is 25 inches and the scale base length is 10 inches, we can calculate the scale factor:
Scale Factor = 25 / 10 = 2.5
Then, we can use the scale factor to find the actual height of the flag in the scale drawing:
Scale Height = Actual Height / Scale Factor
Scale Height = 15 / 2.5 = 6 inches
Now, we have the base length (10 inches) and height (6 inches) of Magnolia's scale drawing.
To find the area of the scale drawing, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Substitute the base length and height of the scale drawing into the formula:
Area = (1/2) * 10 * 6
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing of the flag is 30 square inches.
say it like a 7th grader wrote it
To figure out how big a smaller version of the flag is, we first need to know how much smaller it is compared to the real flag. We can find this by dividing the actual length of the flag by the length of the smaller version.
The actual flag has a base length of 25 inches, and the smaller version's base is 10 inches. So, we divide 25 by 10 to get 2.5.
Next, we can find the height of the smaller version by dividing the actual height by the scale factor. The real flag's height is 15 inches, so when we divide by 2.5, we get 6 inches.
Now we know the base length (10 inches) and height (6 inches) of the smaller version.
To find the area of the smaller version, we use the formula for the area of a triangle, which is half of the base times the height.
Plugging in the values we found earlier (10 for the base and 6 for the height), we get:
Area = (1/2) * 10 * 6
Area = 30 square inches
Therefore, the area of the smaller version of the flag is 30 square inches.