Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of 108°. [Use π= 22/7]
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6.6 cm.
Given that
A circle of diameter (d) = 7 cm
Radius (r) = d/2 = 7/2 cm
A central angle = 108º
Length of a arc of a circle = θ × (π/180) × r,
where r is the radius of the circle and 𝜃(degree) is the angle of the sector.
Calculation
Area of the sector = (108°/180°) × (22/7) × (7/2) = 6.6 cm