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A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square?
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A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 ...
Problem:
A circular carpet of diameter 2.8m is spotted in the centre with a 20 cm striped border. Find the area of the striped portion of the carpet to the nearest cm square.
Solution:
To find the area of the striped portion of the carpet, we need to subtract the area of the inner circle (without the border) from the area of the outer circle (with the border).
Step 1: Find the radius of the inner circle
The diameter of the carpet is given as 2.8m, so the radius of the carpet is half of the diameter.
Radius = Diameter / 2 = 2.8m / 2 = 1.4m
Step 2: Find the radius of the outer circle
The striped border has a width of 20 cm, so the radius of the outer circle is the sum of the radius of the inner circle and the width of the border.
Radius = Inner circle radius + Border width = 1.4m + 0.2m = 1.6m
Step 3: Calculate the area of the inner circle
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.
Area of inner circle = π * (1.4m)^2 = 6.16m^2
Step 4: Calculate the area of the outer circle
Area of outer circle = π * (1.6m)^2 = 8.04m^2
Step 5: Calculate the area of the striped portion
Area of striped portion = Area of outer circle - Area of inner circle
Area of striped portion = 8.04m^2 - 6.16m^2 = 1.88m^2
Step 6: Convert the area to square centimeters
1m^2 = 10000cm^2
1.88m^2 = 1.88 * 10000cm^2 = 18800cm^2
Therefore, the area of the striped portion of the carpet is 18800 cm^2 to the nearest cm square.
A circular carpet of diameter 2.8m is spotted in the centre with a 20 cm striped border. Find the area of the striped portion of the carpet to the nearest cm square.
Solution:
To find the area of the striped portion of the carpet, we need to subtract the area of the inner circle (without the border) from the area of the outer circle (with the border).
Step 1: Find the radius of the inner circle
The diameter of the carpet is given as 2.8m, so the radius of the carpet is half of the diameter.
Radius = Diameter / 2 = 2.8m / 2 = 1.4m
Step 2: Find the radius of the outer circle
The striped border has a width of 20 cm, so the radius of the outer circle is the sum of the radius of the inner circle and the width of the border.
Radius = Inner circle radius + Border width = 1.4m + 0.2m = 1.6m
Step 3: Calculate the area of the inner circle
The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.
Area of inner circle = π * (1.4m)^2 = 6.16m^2
Step 4: Calculate the area of the outer circle
Area of outer circle = π * (1.6m)^2 = 8.04m^2
Step 5: Calculate the area of the striped portion
Area of striped portion = Area of outer circle - Area of inner circle
Area of striped portion = 8.04m^2 - 6.16m^2 = 1.88m^2
Step 6: Convert the area to square centimeters
1m^2 = 10000cm^2
1.88m^2 = 1.88 * 10000cm^2 = 18800cm^2
Therefore, the area of the striped portion of the carpet is 18800 cm^2 to the nearest cm square.
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A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square?
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A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square?.
A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular carpet of diameter 2.8m is spotted 8n the centre with a 20 cm striped border.find the area of the striped portion of the carpet to the nearest cm square?.
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