In the given figure, the length of arc AB is equal to twice the length of radius r of the circle. Find the area of sector OAB in terms of the radius r.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. r2.
Given that
The length of arc AB (l) = 2r
where r is a radius of a circle
Formula used
The area of a sector of a circle = (θ/360°) × πr2 = lr/2
Where, r is the radius of the circle, 𝜃 is the angle of the sector, and l is arc length
Calculation
Area of the sector = 2r × r/2 = r2