Anonymous
Aug 21
Calculate the area of the metal sheet required to make a circular washer whose internal radius is 7.8 cm?
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ChatGPT
Aug 21
To calculate the area of the metal sheet required to make a circular washer, we need to find the area of the outer circle and subtract the area of the inner circle.
Given:
Internal radius = 7.8 cm
Outer radius = Internal radius + width of the washer
Let's assume the width of the washer is 2 cm.
Outer radius = 7.8 cm + 2 cm = 9.8 cm
Area of the outer circle = π * (outer radius)^2
Area of the outer circle = π * (9.8)^2
Area of the outer circle ≈ 301.71 cm²
Area of the inner circle = π * (internal radius)^2
Area of the inner circle = π * (7.8)^2
Area of the inner circle ≈ 191.13 cm²
Area of the metal sheet required = Area of the outer circle - Area of the inner circle
Area of the metal sheet required ≈ 301.71 cm² - 191.13 cm²
Area of the metal sheet required ≈ 110.58 cm²
Therefore, the area of the metal sheet required to make a circular washer with an internal radius of 7.8 cm is approximately 110.58 cm².
Given:
Internal radius = 7.8 cm
Outer radius = Internal radius + width of the washer
Let's assume the width of the washer is 2 cm.
Outer radius = 7.8 cm + 2 cm = 9.8 cm
Area of the outer circle = π * (outer radius)^2
Area of the outer circle = π * (9.8)^2
Area of the outer circle ≈ 301.71 cm²
Area of the inner circle = π * (internal radius)^2
Area of the inner circle = π * (7.8)^2
Area of the inner circle ≈ 191.13 cm²
Area of the metal sheet required = Area of the outer circle - Area of the inner circle
Area of the metal sheet required ≈ 301.71 cm² - 191.13 cm²
Area of the metal sheet required ≈ 110.58 cm²
Therefore, the area of the metal sheet required to make a circular washer with an internal radius of 7.8 cm is approximately 110.58 cm².
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Google Gemini AI
Aug 21
The area of a circular washer is given by the formula:
$$Area = \pi(R^2 - r^2)$$
where R is the outer radius and r is the inner radius.
Given that the internal radius is 7.8 cm, we need to find the outer radius of the washer. Unfortunately, the outer radius is not provided in the given information. Therefore, we cannot calculate the area of the metal sheet required to make the circular washer.
$$Area = \pi(R^2 - r^2)$$
where R is the outer radius and r is the inner radius.
Given that the internal radius is 7.8 cm, we need to find the outer radius of the washer. Unfortunately, the outer radius is not provided in the given information. Therefore, we cannot calculate the area of the metal sheet required to make the circular washer.
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