Answer :
To find the area of a semicircle with a diameter of 18 meters, we can follow these steps:
1. Determine the radius:
- The radius of a semicircle (or any circle) is half of its diameter.
- Given the diameter is 18 meters, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{18}{2} = 9 \text{ meters} \][/tex]
2. Calculate the area of the full circle:
- The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
- Using [tex]\( \pi = 3.14 \)[/tex] and the radius [tex]\( r = 9 \)[/tex] meters:
[tex]\[ A = 3.14 \times (9)^2 = 3.14 \times 81 = 254.34 \text{ square meters} \][/tex]
3. Calculate the area of the semicircle:
- Since a semicircle is half of a full circle, divide the area of the full circle by 2:
[tex]\[ \text{Area of semicircle} = \frac{254.34}{2} = 127.17 \text{ square meters} \][/tex]
Thus, the area of the semicircle, rounded to the nearest hundredth, is about:
[tex]\[ 127.17 \text{ m}^2 \][/tex]
1. Determine the radius:
- The radius of a semicircle (or any circle) is half of its diameter.
- Given the diameter is 18 meters, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{18}{2} = 9 \text{ meters} \][/tex]
2. Calculate the area of the full circle:
- The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
- Using [tex]\( \pi = 3.14 \)[/tex] and the radius [tex]\( r = 9 \)[/tex] meters:
[tex]\[ A = 3.14 \times (9)^2 = 3.14 \times 81 = 254.34 \text{ square meters} \][/tex]
3. Calculate the area of the semicircle:
- Since a semicircle is half of a full circle, divide the area of the full circle by 2:
[tex]\[ \text{Area of semicircle} = \frac{254.34}{2} = 127.17 \text{ square meters} \][/tex]
Thus, the area of the semicircle, rounded to the nearest hundredth, is about:
[tex]\[ 127.17 \text{ m}^2 \][/tex]
