The area of the sector of a circle with radius 7 cm and of angle 60° is

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  1. \(\frac{144}{3}\) cm2
  2. \(\frac{77}{3}\) cm2
  3. \(\frac{154}{7}\) cm2
  4. None of these

Answer (Detailed Solution Below)

Option 2 : \(\frac{77}{3}\) cm2
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Detailed Solution

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Given:

The radius of sector (r) = 7 cm

Central angle (θ) = 60° 

Formula Used:

Area of sector = πr2 × \(\dfrac{60}{360}\)

Calculation:

Area of sector = \(\dfrac{22}{7}\)× 7 × 7 × \(\dfrac{60}{360}\)

⇒ Area of sector =\(\dfrac{77}{3}\) cm2

∴ Required area of the sector is \(\dfrac{77}{3}\) cm2

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