Find the area of this semi-circle with diameter, d = 37cm.
Give your answer rounded to 2 DP.

Answer:
The area of semicircle is 537.82 cm².
Step-by-step explanation:
Given :
To Find :
Using Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\red{Area = \dfrac{1}{2}\pi{r}^{2}}}}}}}}[/tex]
Solution :
Here we have given that the diameter of semicircle. So, finding the radius of semicircle by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{Radius = \dfrac{D}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{Radius = \dfrac{37}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{Radius = \cancel{\dfrac{37}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{Radius =18.5 \: cm}}}[/tex]
[tex]{\star{\underline{\boxed{\sf{\pink{Radius =18.5 \: cm}}}}}}[/tex]
Hence, the radius of semicircle is 18.5 cm.
[tex]\rule{300}{1.5}[/tex]
Now, we know the radius of semicircle. Then, finding the area of semicircle by substituting the values in the formula :
[tex]{\longrightarrow{\pmb{\sf{Area = \dfrac{1}{2}\pi{r}^{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{1}{2} \times \dfrac{22}{7} \times {(18.5)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{1}{\cancel{2}} \times \dfrac{\cancel{22}}{7} \times {(18.5 \times 18.5)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{11}{7} \times {(18.5 \times 18.5)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{11}{7} \times {(342.25)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{11}{7} \times 342.25}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{11 \times 342.25}{7}}}}[/tex]
[tex]{\longrightarrow{\sf{Area = \dfrac{3764.75}{7}}}}[/tex]
[tex]{\longrightarrow{\sf{Area \approx 537.82 \: {cm}^{2}}}}[/tex]
[tex]{\star{\underline{\boxed{\sf{\pink{Area \approx 537.82 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of semicircle is 537.82 cm².
[tex]\rule{300}{1.5}[/tex]