What is the circumference of the largest circle you could cut from a 30 cm by 20 cm sheet of paper? What area of paper would you cut away. PLZ HELP GUYS TEST TOMMOROW OH MA GAWD!
clearly, a circle of diameter 20 cm
To find the circumference of the largest circle that can be cut from a rectangular sheet of paper, we need to determine the diameter of the circle.
In this case, the rectangle has dimensions of 30 cm by 20 cm. The largest circle that can fit inside this rectangle will have a diameter equal to the smaller of the two dimensions, which is 20 cm.
The circumference of a circle can be calculated using the formula:
Circumference = π * diameter
Substituting the diameter of 20 cm into the formula, we get:
Circumference = π * 20 cm
Now, let's calculate the circumference:
Circumference = 3.14 * 20 cm
Therefore, the circumference of the largest circle that can be cut from the given sheet of paper is 62.8 cm.
To determine the area of the paper that would be cut away, we need to calculate the area of the rectangle and then subtract the area of the circle.
The area of a rectangle can be calculated using the formula:
Area = length * width
Substituting the values, we get:
Area = 30 cm * 20 cm
Area = 600 cm²
To calculate the area of the circle, we can use the formula:
Area = π * radius²
Since the diameter of the circle is 20 cm, the radius is half of that, which is 10 cm. Plugging this value into the formula, we get:
Area = 3.14 * (10 cm)²
Simplifying further, we find:
Area = 3.14 * 100 cm²
Area = 314 cm²
Therefore, the area of paper that would be cut away is 314 cm².