Solve the following problems:
1. A central angle 0 in a circle of radius 12cm. is subtended by an arc of length 20 cm.
of 9 in radians.
2. How long is an arc of a round elliptical road with radius 20 m that subtends a central
3. Find the area of a sector of a circular garden with central angle of 200° if the radius of
1. A central angle 0 in a circle of radius 12cm. is subtended by an arc of length 20 cm.
of 9 in radians.
2. How long is an arc of a round elliptical road with radius 20 m that subtends a central
3. Find the area of a sector of a circular garden with central angle of 200° if the radius of
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Answer:
The length of the arc is 8*pi cm.
Step-by-step explanation:
Given: Radius = 12 cm
Find: Length of arc that subtends a 120 degree central angle.
SOLUTION:
C = Circumference
C = pi*diameter
C = pi*(24)
The length of the arc, L,
compared to the Circumference, C,
is proportional to the central angle.
L / C = 120 / 360
L / (24*pi) = 120 / 360
L = (24*pi) * ( 120 / 360 )
L = (24*pi) * ( 1/3 )
L = 8*pi