A wire of length 21 cm is bent to form an Arc of a circle of radius 7 cm find Radian and degree measure of the angle subtended by the arc of the centre of the circle also find the area of the corresponding sector
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θ = 171.82° or 3 Radian , Area of Sector = 73.5 cm²
Step-by-step explanation:
A wire of length 21 cm is bent to form an Arc of a circle of radius 7 cm
Arc length = 21 cm
Circumference of circle = 2πR
= 2 (22/7) * 7
= 44 cm
angle subtended by the arc of the centre of the circle = θ
(θ/360) * 44 = 21
=> θ = 171.82°
(θ/2π) * 44 = 21
=> θ = 42π/44
=> θ = 21π/22
=> θ = 3 Radian
Area of Sector = (3/2π) πR²
= 1.5 * 7²
= 73.5 cm²
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