Question

What is the area of circle which quarter 4cm?

Answer 1

Ответ:

Пошаговое объяснение:

$area = \pi r^{2} = 4^{2}\pi =16\pi$

Answer 2

To find the area of a circle, you need to know the radius or diameter of the circle. In your question, you mentioned that the circle has a quarter with a length of 4 cm. I assume you're referring to the length of the arc (quarter of the circumference) of the circle.

To find the area of the circle, we need to determine either the radius or the diameter. Since we don't have that information directly, we can use the arc length to calculate the circumference and then find the radius.

The formula for the circumference of a circle is given by:

Circumference = 2πr,

where "r" represents the radius of the circle.

In this case, we know that the length of the arc (quarter) is 4 cm. Since a quarter of a circle is 1/4 of the circumference, we can set up the following equation:

1/4 * Circumference = 4 cm.

Substituting the formula for circumference, we get:

1/4 * (2πr) = 4 cm.

Simplifying the equation:

πr = 8 cm.

To find the radius, divide both sides of the equation by π:

r = 8 cm / π.

Now that we have the radius, we can calculate the area of the circle using the formula:

Area = πr².

Substituting the value of the radius we found:

Area = π * (8 cm / π)².

Simplifying the equation further:

Area = π * (64 cm² / π²).

The π in the numerator and denominator cancels out:

Area = 64 cm² / π.

Therefore, the area of the circle is approximately 20.3715 square centimeters when the arc length of the quarter is 4 cm.