Question

15. A wire of length 121 cm is bent so as to lie along the arc of a circle of radius
180 cm. Find in degrees, the angle subtended at the centre by the arc.

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Answer 1

Answer:

121/π degrees

Step-by-step explanation:

The area of the sector formed

• 1/2 rL = 1/2 r²∆

where,

• r is radius of circle
• L is length of the arc
• ∆ is the angle subtended at centre by arc

Equating these 2 equations,

• 1/2 rL = 1/2 r²∆
• L = r ∆ ( cancelling 1/2 r on both sides)
• ∆= L/r = 121/180
• ∆ = 121/180 radians
• = (121/180) x (180/π) degrees
• = 121/π °

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