the area of sector which is 1/ 4 the area of circle of radius r units
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The area of the sector is π r² / 4.
- We know that area of circle = π r² and area of the sector is Θ π r² / 360°.
- As per the question, the Area of the sector is = 1 / 4 area of the circle.
- Thus,
Θ π r² / 360° = π r²
Θ = 90°
- Now, area of sector = Θ π r² / 360°
= 90 x π r² / 360°
= π r² / 4
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