Question

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

Answer 1

radius 6cm
angle 60
60/360×22/7×26
132/7

Answer 2

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$\sf\underbrace{ Question: }$

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

$\sf\underline\red{Given:}$

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

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

• We have to find the area of the sector.

$\sf\underline\purple{Solution:}$

We know that

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

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

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

• $⟹$$\bf\dfrac{1}{6}$ × $\bf\dfrac{22}{7}$ × $\bf{36}$

• $⟹$$\bf\dfrac{6 × 22}{7}$

• $⟹$$= \bf\dfrac{132}{7}$ $\bf{cm²}$

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

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