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.
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