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Eddi Din [679]
3 years ago
8

Find the area of the semi circle please ​

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0

Answer:

58.4197cm^2

Step-by-step explanation

cirlce area formula: \pir^2

r= 6.1

\pi=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

Novosadov [1.4K]3 years ago
6 0

\huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}

area of semicircle is 58.572 m²

\huge \sf { \fcolorbox{green}{g}{Explanation :- }}

\huge \underline{\large \fbox \red{Concept : }}

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

\huge\mathfrak\red{Solution : }

\mathfrak \green{Area \:  of \:  circle = π ×  ( radius) ²}

\mapsto  \:  \:  \small  \:  \:  \:  \:  \: \mathfrak \blue{ =  \frac{22}{7} \:  \times( 6.1 \: m)^{2} } \\

\mapsto  \small    \:  \:  \:  \:  \: \mathfrak \blue{ =  \frac{22}{7} \:  \times37.21 \: m {}^{2}  }  \\

\mapsto  \:  \small\:  \:  \:  \:  \:  \: \mathfrak \blue{ =  116.94 \: m {}^{2} }

Therefore,

\small \mathfrak \red{Area \:  of \:  semicircle = \frac{1}{2}   \times area  \: of  \: circle}

\small \mathfrak  \green{  =  \frac{1}{2} \times 116.94 \: cm \:  {}^{2} } \\

\mapsto  \:  \small\:  \:  \:  \:  \:  \: \mathfrak { =  58.472\: m {}^{2} }

{\underline  {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}

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