We use the formula for the area of the sector of a circle.
The formula for the area of the sector of a circle with radius 'r' and angle θ = (θ/360°) × πr2
Given, θ = 60°, Radius = 6 cm
Area of the sector = (θ/360°) × πr2
= 60°/360° × 22/7 × 6 × 6
= 132/7 cm2
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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]
We use the formula for the area of the sector of a circle.
The formula for the area of the sector of a circle with radius 'r' and angle θ = (θ/360°) × πr2
Given, θ = 60°, Radius = 6 cm
Area of the sector = (θ/360°) × πr2
= 60°/360° × 22/7 × 6 × 6
= 132/7 cm2