Answers
Answer:
58.4197cm^2
Step-by-step explanation
cirlce area formula: [tex]\pi[/tex]r^2
r= 6.1
[tex]\pi[/tex]=3.14
Now plug numbers into the formula
area of circle:
= (3.14)(6.1^2)
=(3.14)(37.21)
= 116.8394cm^2 ------> area of full circle
now divide by 2, to find area of semi circle
116.8394/2= 58.4197cm^2
[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]
area of semicircle is 58.572 m²
[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]
[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]
We have to find the area of semicircle
So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.
We have given the radius of circle is 6.1 m
[tex]\huge\mathfrak\red{Solution : }[/tex]
[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]
[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]
[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]
[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]
Therefore,
[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]
[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]
[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]
[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]
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