Find the area of a circle with a diameter of 4.

Either enter an exact answer in terms of [tex]\pi[/tex] or use 3.14 for [tex]\pi[/tex] and enter your answer as a decimal.

[tex]\square \text{ units}^2[/tex]



Answer :

To find the area of a circle when the diameter is given, we can follow these steps:

1. Determine the radius of the circle:
The radius [tex]\( r \)[/tex] of a circle is half of its diameter. Given the diameter is 4 units, we can calculate the radius as:
[tex]\[ r = \frac{\text{diameter}}{2} = \frac{4}{2} = 2 \text{ units} \][/tex]

2. Use the formula for the area of a circle:
The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[ A = \pi \times r^2 \][/tex]
Since we are given the option to use 3.14 for [tex]\(\pi\)[/tex], we substitute [tex]\(\pi = 3.14\)[/tex] and the radius [tex]\( r = 2 \)[/tex] units into the formula.

3. Calculate the area:
[tex]\[ A = 3.14 \times (2)^2 = 3.14 \times 4 = 12.56 \text{ square units} \][/tex]

Therefore, the area of the circle is [tex]\( 12.56 \)[/tex] square units.

Answer:

4π units ^2

Step-by-step explanation:

The formula for area of a circle is given by

A =π r^2 where r is the radius

We are given the diameter, which is twice the radius.

d = 2r

4 = 2r

2 =r

The radius is 2.

A =π ( 2) ^2

A = 4π