Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. (Use $\pi = \frac{22}{7}$)

Q: Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. (Use $\pi = \frac{22}{7}$)

Given:\nRadius of the circle ($r$) = 6 cm\nAngle of the sector ($\theta$) = 60° \nFormula for the area of a sector:\nArea = $\frac{\theta}{360°} \times \pi r^2$ \nSubstituting the given values:\nArea = $\frac{60°}{360°} \times \frac{22}{7} \times (6)^2$\nArea = $\frac{1}{6} \times \frac{22}{7} \times 36$\nArea = $\frac{1}{6} \times \frac{22}{7} \times 36$\nArea = $22 \times 6 \times \frac{1}{7}$\nArea = $\frac{132}{7} \text{ cm}^2$ \nTherefore, the area of the sector is $\frac{132}{7} \text{ cm}^2$ (or approximately $18.86 \text{ cm}^2$).

Question

Accepted Answer

Given:
Radius of the circle ($r$) = 6 cm
Angle of the sector ($	heta$) = 60° 
Formula for the area of a sector:
Area = $\frac{	heta}{360°} 	imes \pi r^2$ 
Substituting the given values:
Area = $\frac{60°}{360°} 	imes \frac{22}{7} 	imes (6)^2$
Area = $\frac{1}{6} 	imes \frac{22}{7} 	imes 36$
Area = $\frac{1}{6} 	imes \frac{22}{7} 	imes 36$
Area = $22 	imes 6 	imes \frac{1}{7}$
Area = $\frac{132}{7} 	ext{ cm}^2$ 
Therefore, the area of the sector is $\frac{132}{7} 	ext{ cm}^2$ (or approximately $18.86 	ext{ cm}^2$).

CBSE · Class 10 · Mathematics · Areas Related to CirclesFind the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. (Use $\pi = \frac{22}{7}$)