Question

Най­ди­те пло­щадь круга, длина окруж­но­сти ко­то­ро­го равна 37 корень из П

Answer 1

 R- радиус окружности

 S = пR^2 -площадь круга

 l = 2πR - длина окружности

R=37√п\2п

S=п*(37√п\2п)=342,25

Answer 2

Finding the Area and Circumference of a Circle

To find the area and circumference of a circle, we can use the following formulas:

1. Area of a Circle: The area (A) of a circle with radius (r) is given by the formula: A = πr^2. 2. Circumference of a Circle: The circumference (C) of a circle with radius (r) is given by the formula: C = 2πr.

Calculating the Radius

To calculate the radius of the circle, we can use the given information that the circumference is equal to 37 times the square root of the constant π.

The formula for the circumference of a circle is C = 2πr. Given that C = 37√π, we can solve for the radius (r) as follows: 37√π = 2πr r = 37√π / 2π r = 37 / 2

Calculating the Area

Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2. Substituting the value of r we found earlier: A = π * (37 / 2)^2 A = π * (1369 / 4) A = 342.25π

So, the area of the circle is 342.25π.

Calculating the Circumference

We can also calculate the circumference of the circle using the formula C = 2πr. Substituting the value of r we found earlier: C = 2π * (37 / 2) C = 37π

So, the circumference of the circle is 37π.

These calculations provide the area and circumference of the circle based on the given information.