Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch = 4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing?
(It may be helpful to set up a proportion.)
(1 point)
Answer:
inches
5 inches
To find the length of the room in the drawing, first set up a proportion:
1 inch = 4 feet
x inches = 20 feet
Cross multiply to solve for x:
1 * 20 = 4 * x
20 = 4x
x = 5
Therefore, the length of the room in the drawing is 5 inches.
Find the circumference of the given circle with a diameter of 40 cm.
Use 3.14 as an approximation of π. ( C=πd
)
(1 point)
C =
cm
Given that the diameter is 40 cm, we can find the circumference of the circle using the formula C = πd, where d is the diameter.
C = πd
C = 3.14 * 40
C = 125.6 cm
Therefore, the circumference of the circle with a diameter of 40 cm is 125.6 cm.
Find the area of the circle. ( A=πr2
)
r=14 m
Use π=3.14 and round your answer to the nearest hundredth.
(1 point)
A =
m2
To find the area of the circle, we use the formula A = πr^2, where r is the radius of the circle.
Given that r = 14 m and π = 3.14, we can substitute these values into the formula:
A = 3.14 * (14)^2
A = 3.14 * 196
A = 615.44 m^2
Therefore, the area of the circle with a radius of 14 m is 615.44 m^2.
615.44 m^2 rounded to the nearest hundredth.
615.44 m² rounded to the nearest hundredth is 615.44 m².
Find the area of a circle with a diameter of 8 cm. Use π=3.14
Round your answer to the nearest hundredth.
A = πr2
image.png
(1 point)
A=
cm2
To find the area of a circle with a diameter of 8 cm, we first need to find the radius because the formula for the area of a circle is A = πr^2.
Given the diameter is 8 cm, the radius would be half of the diameter, which is 4 cm.
Now, we can substitute the radius (r = 4 cm) and the value of π = 3.14 into the formula to find the area:
A = 3.14 * (4^2)
A = 3.14 * 16
A = 50.24 cm^2
Therefore, the area of the circle with a diameter of 8 cm is 50.24 cm^2.