If the length of arc l=44 and the radius is 21cm Find the area of the sector?
Answers
Answer:
The length of the arc is 44 cm & Area of sector of a circle is 462 cm².
Step-by-step explanation:
Given :
Radius of circle,r = 21 cm
Angle subtended by an arc, θ = 120°
Length of the arc, l = (θ/360) × 2πr
l = (120°/360°) × 2π × 21
l = 1/3 × 2 × 22/7 × 21
l = (44 × 7)/7
l = 44 cm
Length of the arc, l = 44 cm
Area of the sector of a circle, A = (θ/360) × πr²
A = (120°/360°) × π ×21²
A = ⅓ × 22/7 × 21 × 21
A = 22 × 7 × 3
A = 154 × 3
A = 462 cm²
Area of sector of a circle ,A = 462 cm²
Hence, the length of the arc is 44 cm & Area of sector of a circle is 462 cm².
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Step-by-step explanation: