Ask Question
24 April, 19:28

A circular pond will be placed on a square piece of land. The length of a side of the square is 2x. The radius of the pond is x. The part of the square not covered by the pond will be planted with flowers. What is the area of the region that will be planted with flowers? Write your answer in factored form.

+2
Answers (1)
  1. 24 April, 19:49
    0
    Step-by-step explanation:

    The land on which the pond would be placed is a square. The formula for determining the area of a square is expressed as

    Area = L²

    The length of a side of the square is 2x. This means that the area of the land would be

    Area = (2x) ² = 4x²

    The pond is circular and the formula for determining the area of a circle is

    Area = πr²

    Where

    π is a constant

    The radius of the pond is x. Therefore, area covered by the pond is

    Area = π * x² = πx²

    The part of the square not covered by the pond will be planted with flowers. Therefore, the area of the region that will be planted with flowers is

    4x² - πx²

    = x² (4 - π)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A circular pond will be placed on a square piece of land. The length of a side of the square is 2x. The radius of the pond is x. The part ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers