Question

Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.

Answer 1

$\huge\blue{\overbrace{\blue{\underbrace{\color{blue}{{ \blue\:{Hello}}}}}}}$

It is given that the angle of the sector is 60°

We know that the area of sector = (θ/360°)×πr2

∴ Area of the sector with angle 60° = (60°/360°)×πr2 cm2

= (36/6)π cm2

= 6×22/7 cm2 = 132/7 cm2

Answer 2

━━━━━━━━━━━━━━━━━━━━

$\sf\underbrace{ Question: }$

• Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°.??

$\sf\underline{ Given : }$

• Radius = r = 6 cm
• & Angle of the sector = θ = 60°

$\sf\underline{ To\: Find : }$

• We have to find the area of the sector.

$\sf\underline{ Solution : }$

We know that

We know the formula to find the area of the sector.

$\sf{Area\:of\: sector\:of\: circle = \dfrac{\theta}{360^{\circ}} × \pi r^2}$

ㅤㅤㅤ$⟹$$\sf\dfrac{60}{360}$×$\sf\dfrac{22}{7}$×$\sf{\:(6)²}$

ㅤㅤㅤ$⟹$$\sf\dfrac{1}{6}$×$\sf\dfrac{22}{7}$ × $\sf{36}$

ㅤㅤㅤ$⟹$$\sf\dfrac{6 × 22}{7}$

ㅤㅤㅤ$⟹$= $\sf\dfrac{132}{7}$$\sf{cm²}$

Therefore, the area of the sector of the circle making 60° at the centre of the circle is$\sf\dfrac{132}{7}$ cm²

━━━━━━━━━━━━━━━━━━━━