Question

Окружность арены цирка имеет длину 40,8 м найди площадь арены

Answer 1

S=пr²
C=2пr
2пr=40,8
3,14r=20,4
r≈6,49≈6,5
S=3,14×6,5²=132,665

Answer 2

Calculation of the Arena's Area

To find the area of the arena, we need to know the radius of the circle. Unfortunately, the given information only provides the length of the circumference, which is 40.8 meters.

To calculate the area of a circle, we can use the formula:

Area = π * r^2

Since we don't have the radius directly, we need to find it first. The formula to calculate the circumference of a circle is:

Circumference = 2 * π * r

Given that the circumference is 40.8 meters, we can rearrange the formula to solve for the radius:

40.8 = 2 * π * r

Dividing both sides of the equation by 2π, we get:

r = 40.8 / (2 * π)

Now that we have the radius, we can substitute it into the formula for the area:

Area = π * (40.8 / (2 * π))^2

Simplifying the equation, we get:

Area = (40.8^2) / (4 * π)

Calculating the value, we find:

Area ≈ 329.867 square meters

Therefore, the approximate area of the arena is 329.867 square meters.