In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of the arc and area of the sector.
Answers
Answer:
The length of the arc is 44 cm & Area of sector of a circle is 770 cm².
Step-by-step explanation:
Given :
Radius of circle,r = 35cm
Angle subtended by an arc, θ = 72°
Length of the arc, l = (θ/360) × 2πr
l = (72°/360°) × 2π ×35
l = ⅕ × 2 × 22/7 × 35
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 = (72°/360°) × π ×35²
A = ⅕ × 22/7 × 35 × 35
A = 22 × 5 × 7
A = 110 × 7
A = 770 cm²
Area of sector of a circle ,A = 770 cm².
Hence, the length of the arc is 44 cm & Area of sector of a circle is 770 cm².
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Step-by-step explanation:
इन ए सर्किल आफ रेडियस 35 सैंटीमीटर एंड एक्सेप्टेड एंड एंगल ऑफ़ 22 डिग्री एट द सेंटर