AOB is the sector of the circle of unit radius AOB
is 2 radian. The perimeter of the sector AOB is
Answers
Given:
AOB is the sector of the circle of unit radius i.e., the circle has a radius, r = 1 unit.
∠AOB = θ = 2 radian
To find:
The perimeter of the sector AOB
Solution:
To solve the above problem we will use the following formula:
Perimeter of a sector = [Arc Length] + [2 × radius]
Here θ is given in terms of radians, so the Arc Length = rθ
Now, we will substitute the given values of r and θ in the formula of the perimeter
∴ Perimeter of sector AOB is given by,
= [rθ] + [2r]
= [1 × 2] + [2 × 1]
= 2 + 2
= 4 units
Thus, the perimeter of the sector AOB is 4 units.
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