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Mysterykrishu21
@Mysterykrishu21
December 2023
2
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Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°
Answers & Comments
Mysteryboy01
Verified answer
Given :
Radius = 6 cm
Angle of sector = 60°
To Find :
The area of a sector of a circle = ?
Formula used :
[tex]Area \: of \: sector=\frac{θ}{360°} \times\pi{r}^{2} \\ [/tex]
Solution Explanation :
[tex]Area \:=\frac{θ}{360°} \times\pi{r}^{2} \\ \\ = \frac{60}{360} \times \pi \times 6 \times 6 \\ \\ = \frac{{\cancel{60}}}{{\cancel{360}}} \times \pi \times 36 \\ \\ = \frac{1}{6} \times \frac{22}{7} \times 36 \\ \\ = \frac{1}{{\cancel{6}}} \times \frac{22}{7} \times {\cancel{36}} \\ \\ = \frac{22 \times 6}{7} \\ \\ = \frac{132}{7} \: {cm}^{2} [/tex]
4 votes
Thanks 2
XxitzMichAditixX
Question:-
➦ Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
Correct answer:-
➦ Refer to the below mentioned attachment...!!! :)
Thnkuuu...!!! :)
hope it helps...!!! ♡
#ItzzMichhAditi
1 votes
Thanks 1
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Answers & Comments
Verified answer
Given :
To Find :
Formula used :
[tex]Area \: of \: sector=\frac{θ}{360°} \times\pi{r}^{2} \\ [/tex]
Solution Explanation :
[tex]Area \:=\frac{θ}{360°} \times\pi{r}^{2} \\ \\ = \frac{60}{360} \times \pi \times 6 \times 6 \\ \\ = \frac{{\cancel{60}}}{{\cancel{360}}} \times \pi \times 36 \\ \\ = \frac{1}{6} \times \frac{22}{7} \times 36 \\ \\ = \frac{1}{{\cancel{6}}} \times \frac{22}{7} \times {\cancel{36}} \\ \\ = \frac{22 \times 6}{7} \\ \\ = \frac{132}{7} \: {cm}^{2} [/tex]
Question:-
➦ Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.
Correct answer:-
➦ Refer to the below mentioned attachment...!!! :)
Thnkuuu...!!! :)
hope it helps...!!! ♡
#ItzzMichhAditi