The area of the sector of a circle of radius 28 cm is 112 cm². Find the length of the corresponding arc of the sector.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8 cm.
The radius of the circle (r) = 28 cm
Area of the sector (A) = 112 cm²
The area of a sector is:
A = πr²θ/360°
112 = π(28)²θ/360°
θ = 360/22
The length of the corresponding arc of the sector =θ/360° × 2πr
⇒ (360/22)/360 × 2 × 22/7 × 28
⇒ 360/360 × 22/22 × 28/7 × 2
⇒ 8 cm