A circular track of diameter 1.4 M is spotted in the centre with 20 CM script border find the area of the strip portion of the rug to the nearest centimetre square
Math ke questions
Ah, the rug goes round and round! To find the area of the strip portion, we need to subtract the area of the inner circle from the area of the outer circle. So, let's get calculating!
The radius of the outer circle is half of its diameter, which is 1.4 meters. That means the radius is 0.7 meters.
The radius of the inner circle is the radius of the outer circle minus the script border. The script border is 20 cm, which is 0.2 meters. So, the radius of the inner circle is 0.7 meters minus 0.2 meters, which is 0.5 meters.
Now, we can find the areas. The area of a circle is given by the formula A = π * r^2, where A is the area, and r is the radius.
For the strip portion, we subtract the area of the inner circle from the area of the outer circle.
Area of the outer circle = π * (0.7)^2 ≈ 1.54 square meters.
Area of the inner circle = π * (0.5)^2 ≈ 0.79 square meters.
Strip portion area ≈ 1.54 square meters - 0.79 square meters ≈ 0.75 square meters.
So, the area of the strip portion of the rug is approximately 0.75 square meters. To the nearest centimeter square, that would be 75 square centimeters.
I hope you're not too "tied up" in circles now!
To find the area of the strip portion of the rug, we need to subtract the area of the inner circle from the area of the outer circle.
First, let's calculate the radii of both circles. The diameter of the circular track is given as 1.4 meters, so the radius (r1) of the outer circle can be calculated by dividing the diameter by 2:
r1 = 1.4 m / 2 = 0.7 m
The script border has a width of 20 cm, which means that it extends 10 cm on either side of the inner circle. So, the radius (r2) of the inner circle can be calculated by subtracting the width of the script border from the radius of the outer circle:
r2 = r1 - 0.1 m = 0.7 m - 0.1 m = 0.6 m
Now, we can calculate the area of each circle using the formula: Area = π * radius^2
Area of the outer circle = π * r1^2
Area of the inner circle = π * r2^2
Area of the strip portion = Area of the outer circle - Area of the inner circle
Now, let's calculate the area using these values:
Area of the outer circle = 3.14 * (0.7 m)^2
Area of the inner circle = 3.14 * (0.6 m)^2
Area of the strip portion ≈ (3.14 * (0.7 m)^2) - (3.14 * (0.6 m)^2)
Calculating this expression will give you the area of the strip portion in square meters. To convert it to square centimeters, you need to multiply by 10,000 since there are 10,000 square centimeters in a square meter.
Final Step:
Convert the area to the nearest square centimeter by rounding the result to the nearest whole square centimeter.
Plz answer mam
just subtract the center area from the total to get the area of the strip.
As you know, the area of a circle is πr^2
watch the units; one is meters, the other in "CM script"s