Question

A watered circular field (shaded) is inscribed in a square plot of land. The square plot has sides of length 500 meters. What is the area of the land that is not watered? Express your answer to the nearest thousand square meters.​

Answer 1

Given:

A watered circular field is inscribed in a square field.

The field has a side of 500m.

To Find:

Find the area of the land that is not watered.

Solution:

Find the area of the square field:

Area of a square = Length x Length

Area of the square = 500 x 500

Area of the square = 250000 m²

Find the area of the circular field:

Area of a circle= πr²

Area of the circle = π(500÷ 2)²

Area of the circle = 196429 m²

Find the area that is not watered:

Area not watered = 250000 - 196429

Area not watered = 53571 m²

Area not watered = 54000 m² (nearest thousand)

Answer: 54000 m²