The area of the sector 2π/3 radians with diameter 10 feet 75π feet²
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
Diameter = 10 feet
radius = 5 feet
angle = 2π/3 radians
⇒angle= arc/radius
⇒ 2π/3 radians° =arc/10
⇒ arc =2π/3 radians *10
⇒arc=2π/3 radians*10
⇒arc = 20/π43 feet
Area of a circle = π*r²
= π*5² = π25
∵ area of complete circle is π25
∴ area of 2π/3 radians = π25/2π *2π/3 radians
= 75π answer
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