Find the perimeter of the sector of angle 60° of a circle of radius 2

1.	Find the perimeter of the sector of angle 60° of a circle of radius 21 m. 1. 22 m2. 11 m3. 64 m4. 43/3 m
Answer» Correct Answer - Option 3 : 64 m Given: Radius of circle, r = 21 m Sector angle = 60° Formula used: Perimeter of sector = θ/360° × 2πr + 2r Calculation: Perimeter of sector = θ/360° × 2πr + 2r ⇒ Perimeter of sector = (60°/360°) × 2 × 21 × 22/7 + 2(21) ⇒Perimeter of sector = (60 × 2 × 21 × 22)/(360 × 7) + 42 ⇒ Perimeter of sector = 22 + 42 = 64 m ∴ Perimeter of sector is 64 m.

Find the perimeter of the sector of angle 60° of a circle of radius 21 m. 1. 22 m2. 11 m3. 64 m4. 43/3 m

Answer» Correct Answer - Option 3 : 64 m

Given:

Radius of circle, r = 21 m

Sector angle = 60°

Formula used:

Perimeter of sector = θ/360° × 2πr + 2r

Calculation:

Perimeter of sector = θ/360° × 2πr + 2r

⇒ Perimeter of sector = (60°/360°) × 2 × 21 × 22/7 + 2(21)

⇒Perimeter of sector = (60 × 2 × 21 × 22)/(360 × 7) + 42

⇒ Perimeter of sector = 22 + 42 = 64 m

∴ Perimeter of sector is 64 m.

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Find the perimeter of the sector of angle 60° of a circle of radius 21 m. 1. 22 m2. 11 m3. 64 m4. 43/3 m

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