Answer :
To find the area and the circumference of a circle with a diameter of 7 meters, follow these steps:
1. Identify the Diameter:
- The diameter of the circle is given as 7 meters.
2. Calculate the Radius:
- The radius of a circle is half of its diameter.
- Therefore, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{\text{diameter}}{2} = \frac{7}{2} = 3.5 \text{ meters} \][/tex]
3. Calculate the Circumference:
- The circumference [tex]\( C \)[/tex] of a circle can be calculated using the formula:
[tex]\[ C = 2 \pi r \][/tex]
- Given [tex]\( \pi \approx 3.14 \)[/tex] and [tex]\( r = 3.5 \text{ meters} \)[/tex], the circumference is:
[tex]\[ C = 2 \times 3.14 \times 3.5 = 21.98 \text{ meters} \][/tex]
4. Calculate the Area:
- The area [tex]\( A \)[/tex] of a circle can be calculated using the formula:
[tex]\[ A = \pi r^2 \][/tex]
- Using [tex]\( \pi \approx 3.14 \)[/tex] and [tex]\( r = 3.5 \text{ meters} \)[/tex], the area is:
[tex]\[ A = 3.14 \times (3.5)^2 = 38.465 \text{ square meters} \][/tex]
Conclusion:
- The circumference of the circle is [tex]\( 21.98 \)[/tex] meters.
- The area of the circle is [tex]\( 38.465 \)[/tex] square meters.
1. Identify the Diameter:
- The diameter of the circle is given as 7 meters.
2. Calculate the Radius:
- The radius of a circle is half of its diameter.
- Therefore, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{\text{diameter}}{2} = \frac{7}{2} = 3.5 \text{ meters} \][/tex]
3. Calculate the Circumference:
- The circumference [tex]\( C \)[/tex] of a circle can be calculated using the formula:
[tex]\[ C = 2 \pi r \][/tex]
- Given [tex]\( \pi \approx 3.14 \)[/tex] and [tex]\( r = 3.5 \text{ meters} \)[/tex], the circumference is:
[tex]\[ C = 2 \times 3.14 \times 3.5 = 21.98 \text{ meters} \][/tex]
4. Calculate the Area:
- The area [tex]\( A \)[/tex] of a circle can be calculated using the formula:
[tex]\[ A = \pi r^2 \][/tex]
- Using [tex]\( \pi \approx 3.14 \)[/tex] and [tex]\( r = 3.5 \text{ meters} \)[/tex], the area is:
[tex]\[ A = 3.14 \times (3.5)^2 = 38.465 \text{ square meters} \][/tex]
Conclusion:
- The circumference of the circle is [tex]\( 21.98 \)[/tex] meters.
- The area of the circle is [tex]\( 38.465 \)[/tex] square meters.
