Math, asked by shatrugna2000, 1 year ago

Circumference of a semicircle is 216 MTS then its radius is


BrainlyQueen01: full form of MTS

Answers

Answered by BrainlyQueen01
18
\huge{\mathcal{Hi\: there!}}

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Circumference of Semicircle

= \mathsf{ \frac{circumference \: of \: circle}{2} }

⇒ Circumference of semicircle = 2πr /2

⇒ Circumference of circle = πr

Now,

⇒ πr = 216

⇒ \mathsf{ \frac{22}{7} \times r = 216 } \\ \\ ⇒ \mathsf{22r = 216 \times 7} \\ \\ ⇒ \mathsf{r = \frac{1512}{22} } \\ \\ ⇒ \mathsf{r = 68.7}

Hence, the radius of the Semicircle is 68.7 m.

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WritersParadise01: gr8
BrainlyQueen01: Thanks Manvi ❤️☺️
Answered by BrainlyVirat
16
Here is the answer

We know that,

Circumference of semi circle  \bf{ = \frac{Circumference \: of \: circle}{2} }

Circumference = 2 π r

Therefore,

Circumference of semi circle
 \bf{= \frac{2 \: \pi \: r}{2}} <br />= \pi \: r

Thus,
Circumference of semi circle is π r

Now,

Coming to your question,

Circumference = 216
π = 22/7
r = ?

 \bf {\therefore216 = \frac{22}{7} \times r}

\bf{ \frac{216 \times 7}{22} = r} <br />

 \bf{ \frac{1512}{22} = r}

 \bf{ 68.72 = r}

Thus,
 \bf{ r \: \approx \: 68.7}

Radius = 68.7 cm.

Thanks!!

WritersParadise01: awesome
BrainlyVirat: Thanks dear !
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