Answer:
1. 17.8 cm
2. 32.0 cm
3. 15.9 m
Step-by-step explanation:
1. Determination of the length of the arc.
Radius (r) = 6 cm
Angle at the centre (θ) = 170°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 170/360 × 2 × 3.14 × 6
L = 17/36 × 37.68
L = 17.8 cm
2. Determination of the length of the arc.
Diameter (d) = 13 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 13 cm
Radius (r) =?
r = d/2
r = 13/2
r = 6.5 cm
Finally, we shall determine the length of the arc. This can be obtained as follow:
Radius (r) = 6.5 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 282/360 × 2 × 3.14 × 6.5
L = 282/360 × 40.82
L = 32.0 cm
3. Determination of the length of the arc.
Radius (r) = 11 m
Angle at the centre (θ) = 83°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 83/360 × 2 × 3.14 × 11
L = 83/360 × 69.08
L = 15.9 m
