Question

Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.

Answer 1

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

$s = \dfrac{n}{360^\circ} 2 \pi r$

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

$s = \dfrac{n}{360^\circ} 2 \pi r$

$s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm$

$s = 5.2~cm$

Answer: 5.2 cm