Question

Can someone help me on iready area? Is my answers right? TYY Rachel and Erik are buying a rug in the shape of a circle with a diameter of 8 ft. The cost of the rug is based on its area. They want to estimate the area of the rug before buying it.

Rachel uses the area formula A = π2 and says that the expression 4^2 x 22/7 is a good estimate for the area of the rug.


Erik says he could divide a circular model of the rug into 12 equal parts and arrange the pieces into a shape close to a parallelogram. The area of the parallelogram would be approximately equal to the area of the rug.

Answer 1

Both Rachel and Erik are trying to estimate the area of the circular rug with a diameter of 8 ft. Rachel's estimate using the formula A = πr^2 is correct and is the standard way to find the area of a circle. Erik's method of dividing the circle into 12 parts and forming a parallelogram is also a creative way to estimate the area, but it may not be as accurate as Rachel's formula-based approach.

Explanation:

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the diameter of the circle is 8 ft, so the radius can be calculated as r = 8/2 = 4 ft. Substituting the radius into the formula gives A = π x 4^2 = 16π.

Erik's approach of dividing the circle into 12 parts and forming a parallelogram is an estimation method that could be used to find the area of a circle. The idea is to divide the circle into equal parts, arrange them into a parallelogram shape, and find the area of the parallelogram. This will give an estimate of the area of the circle, but it may not be as accurate as using the formula A = πr^2.