Find the circumference and area of a circle with a diameter of 8.

1) In the problem statement, we are given the diameter of the circle. Let’s calculate its radius.

The radius of the circle is half the diameter:

R = D ÷ 2,

where R is the radius of the circle, D is the diameter.

R = 8 ÷ 2 = 4.

2) Calculate the circumference.

A circle is a flat geometric figure whose points are equidistant from a given point, the center of the circle.

Let’s write the formula for calculating the circumference:

l = 2 π R,

where l is the circumference, R is the radius, π = 3.14.

l = 2 × 3.14 × 4 = 25.12.

3) Find the area of ​​the circle.

A circle is a locus of points on a plane equidistant from a given point, which is called the center of a circle.

Let’s write a formula for calculating the area of ​​a circle:

S = π R²,

where S is the area of ​​the circle, R is the radius of the circle, π = 3.14.

S = 3.14 × 4² = 3.14 × 16 = 50.24 sq. units

Answer: the circumference is 25.12, and the area of ​​the circle is 50.24 square meters. units