Answer:
AB = 3.5π
Step-by-step explanation:
The length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex] ( r is the radius and r = 7 )
= 2π × 7 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{14\pi }{4}[/tex] = 3.5π
Answer:
The length of arc AB = 10.99 inch.
Step-by-step explanation:
We know that,
The length of any arc of a circle = Radius of circle [tex]\times[/tex] Angle subtended by arc at centre of circle.
According to the figure,
Angle subtended by arc at centre,[tex]\alpha[/tex] = [tex]\frac{\pi }{2}[/tex]
Radius of the circle, [tex]R[/tex] = 7 inch.
The length of arc AB = [tex]R\times\alpha[/tex]
= [tex]7\times\frac{\pi }{2}[/tex]
= 10.99 inch.
