Question

Find the area of a sector of a circle with radius 6cm if angle of the sector is 60°. (Take = 22/7) *

1 point

18.86 cm²

18.76 cm²

18.66 cm²

17.86 cm²

​

Answer 1

Answer is 18.86 cm²....

Answer 2

The area of sector is 18.86 cm² .

Step-by-step explanation:

Given :-

• Radius of the circle = 6 cm .
• Angle of the sector = 60°

To find :-

• The area of the sector .

Formula used :-

$\boxed{ \tt \: area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} }$

Solution :-

$\sf \: area \: of \: sector = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2}$

$\sf \: Where \: \: \theta = 60 \degree \\ \\ \\ \sf \: ar \: of \: sector \: = \dfrac{6 \cancel0}{ \cancel{36} \cancel0} \times \frac{22}{7} \times \cancel6 \times \cancel 6 \\ \\ \red \implies \sf \: 6 \times \dfrac{22}{7} \\ \\\red \implies \: \: \: \: \: \sf \: \dfrac{132}{7} \\ \\ \sf area \: of \: sector \: = 18.857 \\ \\ \underline{\boxed{\sf area \: of \: sector \: = 18.86 \: {cm}^{2} }}$