Question

find the area and the circumference of a circle with diameter (3\text{ cm}).

use the value (3.14) for (\pi), and do not round your answers. be sure to include the correct units in your answers.

area:
circumference:

Explanation:

Find the radius of the circle

The diameter of the circle is given as \(d = 3\text{ cm}\). The radius \(r\) is half of the diameter:

$$ r = \frac{d}{2} = \frac{3}{2} = 1.5\text{ cm} $$

Calculate the area of the circle

The formula for the area of a circle is \(A = \pi r^2\). Using the approximation \(\pi \approx 3.14\):

$$ A = 3.14 \times (1.5)^2 = 3.14 \times 2.25 = 7.065\text{ cm}^2 $$

Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = \pi d\). Using the approximation \(\pi \approx 3.14\):

$$ C = 3.14 \times 3 = 9.42\text{ cm} $$

Answer:

Area: <blank>\(7.065\text{ cm}^2\)</blank>

Circumference: <blank>\(9.42\text{ cm}\)</blank>