Find the circumference and area of a circle with a diameter of 32 cm.

1) Find the radius of the circle, knowing its diameter.

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 = 32 ÷ 2 = 16 cm.

* 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 × 16 = 100.48 cm.

* 3) Find the area of ​​the circle.

A circle is the locus of points in the plane equidistant from a given point, which is called the center of the 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 × 16² = 3.14 × 256 = 803.84 cm².

Answer: The circumference is 100.48 cm and the area of ​​the circle is 803.84 cm².