Respuesta :
Answer:
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 4.5 cm
180 degrees = π radians
1 radian = 180/π
2 radians = 2 × 180/π = 360/π degrees
Therefore,
Length of arc = (360/π) /360 × 2 × π × 4.5
Length of arc = 9 cm
Answer:
L = 7.1 cm (to the nearest 10th)
Length of an arc equals 7.1 cm
Step-by-step explanation:
Given;
Central angle of arc = π/2 rad
Radius = 4.5 cm
π = 3.14
Length of an arc L = (θ/360) × 2πr (angle in degrees)
for radian.
L = θr
Substituting the values;
L = π/2 × r = 3.14/2 × 4.5 = 7.065 cm
L = 7.1 cm (to the nearest 10th)
