For planting different varieties of flowers, a round flower bed with a radius of 4 m was divided into 10 parts equal

For planting different varieties of flowers, a round flower bed with a radius of 4 m was divided into 10 parts equal in area. Find the area of one part of the flower bed.

1. It is known that the area S of a circle is equal to the product of the number P by the square of its radius R.

2. By the condition of the problem R = 4 m, which means S = 3.14 * 4² = 3.14 * 16 = 50 m².

If you divide the flowerbed into 10 equal parts, then the area of ​​each will be

50 m²: 10 = 5 m².

In order for all parts for planting flowers to be geometrically correct, it is necessary to divide the entire circumference of the flower bed into 10 equal segments.

We know that the circumference L is equal to 2 * P * R and for a given flower bed

L = 2 * 3.14 * 0.7 m = 4.4 m, that is, 10 equal intervals must be measured along the perimeter

4.4 m: 10 = 44 cm each.

Answer: One tenth of the flower bed is 5 m².