The grid contains a circle with a diameter of 2 centimeters. Use the grid to estimate the area of the circle to the nearest whole square centimeter.

A circle graphed on a 4-by-4 grid. The circle has a diameter of 4 units.

area: about ?? cm²

How can you change the grid to improve your estimate? Explain.

The grid contains a circle with a diameter of 2 centimeters Use the grid to estimate the area of the circle to the nearest whole square centimeter A circle grap class=

Respuesta :

The area of the circle is the amount of space on the circle

The area of the circle is about 14 cm²

How to estimate the area of the circle?

From the question, we understand that the circle fits perfectly into the grid.

This means that the area of the circle is about the same with the area of the square grid.

The area  of the square grid is:

Area = 4 * 4

Evaluate

Area = 16

The surrounding areas are triangles with the following estimated dimensions:

Base = 1.5, Height = 1.5

The area of the four triangles is:

Area = 4 * 0.5 * 1.5 * 1.5

This gives

Area = 4.5

Subtract the area of the triangle from the square

Remaining area = 16 - 4.5

Remaining area = 11.5

Approximate

Remaining area = 12

Hence, the area of the circle is about 12 cm²

How to improve the grid?

To improve the grid, we simply get the actual dimension of the black region

Read more about area at:

https://brainly.com/question/24487155

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