What is the area of the quarter circle 8cm?

What is the area of the quarter circle 8cm?

A quarter circle is a circular shape that covers one-fourth of the full circle. It is formed by drawing a radius and an arc of 90 degrees. In this case, we are considering a quarter circle with a radius of 8cm.

To calculate the area of a quarter circle, we need to use the formula:

Area = (π * r^2) / 4

In the formula, 'π' represents the mathematical constant pi, and 'r' represents the radius of the quarter circle.

Now, plugging in the given value of the radius, which is 8cm, we can calculate the area:

Area = (π * (8cm)^2) / 4

Calculating further:

Area = (3.14159 * (8cm)^2) / 4

Area = (3.14159 * 64cm^2) / 4

Area = 201.06192cm^2 / 4

Area = 50.26548cm^2

Therefore, the area of the quarter circle with a radius of 8cm is 50.26548cm^2.

How do you work out the area of a quarter circle 8cm?

Working out the area of a quarter circle with a radius of 8cm is a fairly straightforward process. To begin, we need to understand what a quarter circle is. A quarter circle is essentially a quarter of a full circle, meaning it covers 90 degrees of the total 360-degree circle.

To calculate the area of a quarter circle, we can use the formula for the area of a full circle and then divide it by 4, since we are only dealing with a quarter of the total area.

The formula for the area of a full circle is given by A = πr^2, where A represents the area and r is the radius of the circle. In this case, the radius is given as 8cm.

Substituting the value of the radius into the formula, we have A = π(8cm)^2. This simplifies to A = 64π cm^2.

To find the area of the quarter circle, we divide the total area by 4. Therefore, the area of a quarter circle with a radius of 8cm is 16π cm^2.

It is important to note that the value of π is approximately equal to 3.14. So, substituting this value, we can further simplify the answer to 50.24 cm^2.

To summarize, to find the area of a quarter circle with a radius of 8cm, we follow these steps:

1. Use the formula A = πr^2, substituting the given radius.

2. Simplify the equation to find the total area of the full circle.

3. Divide the total area by 4 to find the area of the quarter circle.

4. Approximate the value of π and simplify the area calculation, if needed.

By following these steps, you can accurately calculate the area of a quarter circle!

How do you work out the area of a quarter circle?

Working out the area of a quarter circle involves a simple mathematical formula. To calculate the area, we need to know the radius of the quarter circle.

First, let's understand what a quarter circle is. It is a section of a circle that spans 90 degrees, or one-fourth of the entire circle. So, to find the area, we need to determine the radius of the quarter circle and use it in the formula.

The formula to calculate the area of a quarter circle is (π * r^2) / 4, where π represents the mathematical constant pi and r represents the radius.

Let's take an example to understand this better. If we have a quarter circle with a radius of 6 units, we can plug in these values into the formula: (π * 6^2) / 4. Simplifying the equation gives us an area of 9π square units.

It is important to note that the answer represents the exact area in terms of π. However, sometimes we might need to find an approximate value by evaluating π as 3.14 or using a calculator for more precision.

So, to sum it up, to find the area of a quarter circle, we need to know the radius. By using the formula (π * r^2) / 4, we can easily calculate the area of a quarter circle. Remember to consider the value of π based on the required precision of the answer.

What is the area of the 8cm circle?

The area of a circle can be calculated using the formula πr², where π represents the mathematical constant pi and r represents the radius of the circle. In this case, the radius of the circle is given as 8cm.

Substituting the value of the radius into the formula, we get:

Area = π(8cm)²

Simplifying the equation, we have:

Area = π(64cm²)

Using a calculator or an approximation of the value of π (which is approximately 3.14), we can calculate the area as:

Area ≈ 3.14(64cm²)

This gives us:

Area ≈ 201.06cm²

Therefore, the area of the 8cm circle is approximately 201.06cm².

What is the area of the quadrant of radius 8cm?

What is the area of the quadrant of radius 8cm?

A quadrant is defined as a quarter of a circle. The area of a quadrant can be calculated by multiplying the area of the full circle by 1/4 or multiplying the square of the radius by π/4.

To find the area of the quadrant of radius 8cm, we can use the formula:

Area of a quadrant = (π * radius^2) / 4

Plugging in the given radius of 8cm into the formula, we get:

Area of the quadrant = (π * 8^2) / 4

Simplifying further, we have:

Area of the quadrant = (π * 64) / 4

Using the value of π approximately equal to 3.14, we can calculate the area:

Area of the quadrant = (3.14 * 64) / 4

Calculating the numerator first, we have:

Area of the quadrant = 200.96 / 4

Simplifying the division, we get:

Area of the quadrant = 50.24 square centimeters

Therefore, the area of the quadrant of radius 8cm is 50.24 square centimeters.