Question

Help 15 points!!

A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm

Answer 1

B)

4.5 cm

Explanation:

The formula for arc length when our central angle is in degrees =

2πr(θ/360)

θ = 86°

Diameter = 6cm Radius = Diameter /2

Radius = 6cm/2 = 3cm

Hence,

Intercepted arc length = 2 × π × 3 (86/360)

= 2 × π × 3 × 0.2388888889

= 4.5029494701 cm

Approximately = 4.5 cm

Option B is the correct answer