In the fig. Angle(APB) = Angle(BPC). The length of BP is 4 units. What is the length of BC on the circle. (Use pi = 22/7)
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Given : ∠APB = ∠BPC
The length of BP is 4 units.
To Find : length of BC on the circle
Solution:
∠APB + ∠BPC + 234° = 360°
∠APB = ∠BPC
=> ∠BPC + ∠BPC + 234° = 360°
=> 2 ∠BPC = 126°
=> ∠BPC = 63°
Length of BC = ( 63°/360°) 2πR
R = radius = BP = 4
π = 22/7
=> Length of BC = ( 63°/360°) 2(22/7) * 4
= (9/360)44 * 4
= (1/40)44 * 4
= 1 * 44 /10
= 44/10
= 4.4
Length of BC = 4.4 unit
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