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3 years ago

The diagram shows a circle in a square 6cm calculate the shaded area take pi to 3.142

Mathematics

1 answer:

Kaylis [27]3 years ago

5 0

The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

The question is incomplete (as there's no attachment to support the question).

However, I'll base my calculations base on the attached diagram to this solution.

Answer:

Shaded Area = 7.722 cm²

Step-by-step explanation:

Given.

Side of the square = 6cm

π = 3.142

Required:

Area of shaded region

First, the area of the square needs to be calculated.

Area of a square = Length * Length

Area = 6cm * 6cm

Area = 36cm²

Then we calculate the area of the circle.

To calculate this, we need to get the radius of the circle.

If the length of the sides of the square is 6 cm, then the diameter of the square is also 6 cm.

Now that we have the diameter, the radius can be calculated.

Radius, R = ½D (where R and D represent radius and diameter, respectively)

So,

R = ½ * 6 cm

R = 3cm

Area of a circle = πr²

Area = 3.142 * 3²

Are = 3.142 * 9

Area = 28.278 cm²

The shaded area is then calculated by subtracting the area of the circle from the area of the square.

Shaded Area = Area of Square - Area of Circle

Shaded Area = 36cm² - 28.278cm²

Shaded Area = 7.722cm²

Hence, the shaded area 7.722 cm²

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