Answer:
L = 100 cm
Step-by-step explanation:
The length of a sector of a circle is a fraction of the entire circumference of the circle.
A circle has a circumference of 2πr. A full circle has a central angle of 360°.
The length of a sector of a circle is a fraction of the entire circumference.
The fraction is the central angle of the sector divided by 360°.
The length of a sector is given by the formula:
L = (n/360°)2πr
where L = length of sector,
n = degree measure of the central angle of the sector,
r = radius of the circle
In this case, the central angle of the sector is 155°, and the radius of the circle is 37 cm.
L = (155°/360°) × 2 × 3.14159 × 37 cm
L = 100 cm
