Asked by Shruti katiyar
Find the angle subtended at the centre of a circle of radius 'a' by an arc of length (a pie/4 ) cm
Answers
Answered by
MathMate
Angle α (in radians) subtended at the centre of a circle of radius R by an arc of length A is
α = A/R radians
= 180A/πR degrees
Example:
Arc = π/2 m
Radius = 3 m
Angle = (π/2)/3 radian
=π/6 radian
α = A/R radians
= 180A/πR degrees
Example:
Arc = π/2 m
Radius = 3 m
Angle = (π/2)/3 radian
=π/6 radian
Answered by
Damon
all the way around = 2 pi a
fraction of circumference = (a pi/4) /(2 pi a)
= 1/8
(1/8) 360 = 45 degrees = pi/4 radians
fraction of circumference = (a pi/4) /(2 pi a)
= 1/8
(1/8) 360 = 45 degrees = pi/4 radians
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