The length of arc of a sector of a circle of radius 14 cm is 10 cm. Find the area of the sector.
Answers
Answered by
3
Answer:
70 cm²
Explanation:
length of arc = θ/360 × 2πr
10 = θ/360 × 2 × 22 / 7 × 14
10 = θ/360 × 2 × 22 × 2
10 = θ/360 × 88
θ = 10 / 360 × 88
Area of sector = θ/360 × πr²
= 10 / (360 × 88 ÷ 360) × 22 / 7 × 14 × 14
= 360 × 10 / (360 × 88) × 22 × 2 × 14
= 10 × 22 × 2 × 14 / 88
= 6160 / 88
= 70 cm²
Similar questions